Hélène Esnault, List of publications
Articles:
1.Sur l'identification de singularités apparaissant dans des groupes algébriques complexes.
Publ. Math. de l'Université Paris VII, 7 (1979), 31-59 (résumé of the "Thèse de 3ième cycle").
pdf
2.Classification des variétés de dimension 3 et plus.
Séminaire Bourbaki, exp 568, Fév 81.
Springer Lect. Notes in Math. 901, 111-131, (survey).
pdf
3.Fibre de Milnor d'un cône sur une courbe plane singulière.
Inventiones math. 68 (1982), 477-496.
pdf
4.(with E. Viehweg) Revêtement cycliques.
Algebraic Threefolds,
Proc. Varenna 1981.
Springer Lect. Notes in Math. 947, 241 - 250
pdf
5.(with E. Viehweg) Sur une minoration du degré d'hypersurfaces
s'annulant en certains points.
Math. Ann. 263 (1983) 75 - 86
pdf
6.(with E. Viehweg) Dyson's lemma for polynomials in several variables
(and the theorem of Roth).
Inventiones math. 78 (1984) 445 - 490
pdf
7.(with E. Viehweg) Two dimensional quotient singularities deform to
quotient singularities.
Math. Ann 271 (1985) 439 - 449
pdf
8.Reflexive modules on quotient surface singularities.
Journ. reine angew. Math 362 (1985), 63-71.
pdf
9.(with E. Viehweg) Revêtements cycliques II.
Proc. Algebraic Geometry,
La Rabida 1984.
Hermann, Travaux en cours 23 (1987) 81 - 96
pdf
10.(with H. Knörrer) Reflexive modules over rational double points.
Math. Ann. 272 (1985), 545-548
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11.(with E. Viehweg) Logarithmic De Rham complexes and vanishing theorems.
Inventiones math. 86 (1986) 161 - 194
pdf
12.Characteristic classes of flat bundles.
Topology 27 (1988), 323-352.
pdf
13.(with E. Viehweg) Deligne-Beilinson cohomology.
in: Beilinson's
Conjectures
on Special Values of L-Functions ( Ed.: Rapoport, Schappacher, Schneider ).
Perspectives in Math. 4, Academic Press (1988) 43 - 91
pdf
14.(with E. Viehweg) A remark on a non-vanishing theorem of P. Deligne
and G.T. Mostow.
Journ. reine angew. Math. 381 (1987) 211 - 213
pdf
15.(with E. Viehweg) Vanishing and non-vanishing theorems.
Proc. Hodge
Theory,
Luminy 1987 (Ed.: Barlet, Elzein, Esnault, Verdier, Viehweg).
Astérisque
179 - 180 (1989) 97 - 112
pdf
16.On the Loday symbol in the Deligne-Beilinson cohomology.
K-Theory 3 (1989), 1-28
pdf
17.A note on the cycle map.
Journal reine angew.
Math. 411 (1990), 51-65.
pdf
18.(with E. Viehweg) Effective bounds for semipositive sheaves and the
height of points on curves over complexe function fields.
Compositio math.
76 (1990) 69 - 85
pdf
19.A regulator map on singular varieties.
Math. Ann. 286 (1990), 169-191
pdf
20.Une remarque sur la cohomologie du faisceau de Zariski de la K-théorie
de Milnor sur une variété lisse complexe.
Math. Zeitschrift 205 (1990), 373-378
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21.Some examples of computation of a regulator map on singular varieties.
Contemporary Mathematics 131 (1992) (Part 3), 399-417, Proc. of the "A.I. Maltsev Conf." on Algebra and Analysis, Novosibirsk 1989.
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22.Hodge type of subvarieties of Pn of small degrees.
Math. Ann. 288 (1990), 549-551
pdf
23.(with E. Viehweg) Ample sheaves on moduli schemes.
"Proceedings of the Conference in Algebraic
and Analytic Geometry", Tokyo, 1990, ICM-90 Satellite Conference Proceedings,
Springer , 53-81
pdf
24.(with J. Seade and E. Viehweg) Characteristic divisors on complex
manifolds.
Journ. reine angew. Math. 424 (1992) 17-30
pdf
25.(with V. Srinivas) Chern classes of vector bundles with holomorphic connections
on a complete smooth complex variety.
Journal of Diff. Geometry, 36 (1992), 257-267.
pdf
26.(with V. Schechtman and E.Viehweg) Cohomology of local systems
on the complement of hyperplanes.
Invent. math. 109 (1992) 557-561
pdf
Erratum: Invent. math. 112 (1993) 447
pdf
27.(with M.V. Nori and V.Srinivas) Hodge type of projective varieties of low degree.
Math. Ann. 293 (1992), 1-6
pdf
28.(with E. Viehweg) Lectures on Vanishing Theorems.
Book, DMV-Seminar Band 20,
Birkhäuser, 164 pages, see below under books.
29.(with B. Kahn and E. Viehweg) Coverings with odd ramification and
Stiefel-Withney classes.
Journ. f. reine und ang. Math.
441 (1993) 145-188
pdf
30.(with E. Viehweg) Higher Kodaira-Spencer classes.
Math. Ann. 299 (1994) 491-527
pdf
31.Characteristic classes of flat bundles, II.
K-Theory 6 (1992), 45-56
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32.(with M. Levine) Surjectivity of cycle maps.
Journées de Géométrie Algébrique d'Orsay, Juillet 1992.
Astérisque 218 (1993), 203-226.
pdf
33.(with V. Srinivas and E. Viehweg) Decomposability of Chow groups
implies decomposability of cohomology.
Journées de Géométrie Algébrique d'Orsay, Juillet 1992.
Astérisque 218 (1993) 227 - 242
pdf
34.(with K. Paranjape) Remarks on absolute de Rham and absolute Hodge cycles.
C.R. Acad. Sc. Paris, t. 319 Série I (1994), 67-72.
pdf
35.Coniveau of classes of flat bundles trivialized on a smooth covering of a complex manifold.
K-Theory 8 (1994), 483-488.
pdf
36.(with K. Corlette) Classes of local systems of Q hermitian
vector spaces, Preprint 1994, appendix to "Riemann-Roch
for flat bundles" by J.-M. Bismut.
Chinese Annals of
Mathematics 26B:1 (2005), 15-44.
pdf
37.(with S. Bloch) The coniveau filtration and non-
divisibility for algebraic cycles.
Math. Ann. 304 (1996), 303-314.
pdf
38.(with M. Levine and E. Viehweg) Chow groups on projective varieties
of very small degree.
Duke Math. J. 87 (1997), 29-58
pdf
39.(with S. Bloch) Algebraic Chern-Simons theory.
Am. J. of
Mathematics 119 (1997), 903-952.
pdf
40.Recent developments on characteristic classes of
flat bundles on complex algebraic manifolds.
Jber. d. Dt. Math.-Verein
98 (1996), 182-191, (survey).
pdf
41.(with B. Kahn, M. Levine and E. Viehweg) The Arason
invariant and mod 2 algebraic cycles.
Journal of the American
Mathematical Society 11 (1998), 73-118
pdf
42.Algebraic Differential Characters, in Regulators in
Analysis, Geometry and Number Theory.
Progress in Mathematics,
Birkhäuser Verlag, 171 (2000), 89-117.
pdf
43.A remark on an algebraic Riemann-Roch formula for flat
bundles.
K-Theory 13 (1998), 61-68.
pdf
44.(with V. Srinivas and E. Viehweg) The universal regular
quotient of the Chow group of 0-cycles on a singular projective
variety.
Inventiones math. 135 (1999) 595-664
pdf
45.(with E. Viehweg) Germs of de Rham cohomology classes
which vanish at the generic point.
CRAS, Paris 326 (1998),
857-862
pdf
46.Algebraic theory of characteristic classes of bundles with
connection, in Algebraic K-theory.
Proceedings of Symposia
in pure Mathematics 67 (1999), 13-25.
pdf
47.(with S. Bloch) A Riemann-Roch theorem for flat bundles,
with values in the algebraic Chern-Simons theory.
Annals of Mathematics 151 (2000), 1-46.
pdf
48.(with E. Viehweg) Semistable bundles on curves and
irreducible representations of the fundamental group.
Contemporary Mathematics 241 (1999) 129 - 138
pdf
49.(with S. Bloch) Lectures on Algebro-Geometric
Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles.
in Arithmetic and Geometry of Algebraic Cycles. Nato Science Series 548 (2000), 3-29.
pdf
50.(with S. Bloch) Gauß-Manin determinants of rank 1
irregular connection on curves.
Math. Ann. 321 (2001), 15-87,
with an addendum: the letter of P. Deligne to J.-P. Serre
(Feb. 74) on ε-factors, 65-87.
pdf
51.(with M. Levine) The Steinberg curve.
Am. J. of Mathematics 122 (2000), 783-804.
pdf
52.(with I.H. Tsai) Determinant bundle in a family of curves,
after A. Beilinson and V. Schechtman.
Comm. Math. Phys. 211 (2000), 359-363.
pdf
53.(with S. Bloch) Relatives Algebraic Characters, in Motives,
Polylogarithms and Hodge Theory.
International Press
Lecture Series, vol. 3, part I (2002), 47-75.
pdf
54. (with S. Bloch) Gauß-Manin determinant connections and
periods for irregular connections.
Geom. funct. anal. Special Volume-GAFA 2000, 1-31, Birkhäuser Verlag.
pdf
55.(with S. Bloch) A formula for Gauß-Manin determinants,
preprint 2000, 37 pages.
see below under Unpublished Manuscripts.
56.(with S. Bloch) Homology for irregular connections.
Journal de Théorie des Nombres de
Bordeaux 16 (2004) no 2, 357-371.
pdf
57.(with C. Hertling) Semistable bundles and reducible
representations of the fundamental group.
International Journal
of Mathematics 12, no7 (2001), 847-855.
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58.(with A. Beilinson and S. Bloch): ε-factors for Gauß-Manin determinants.
Moscow Mathematical Journal, 2 no 3 (2002), 1-56.
pdf
59.(with S. Bloch): An additive version of higher Chow
groups.
Annales Scientifiques de l'École Normale Supérieure, 36 (4) (2003), 463-477.
pdf
60.(with E. Viehweg) Chern classes of Gauß-Manin bundles
of weight 1 vanish.
K-theory 26 (2002) 287-305
pdf
61.Characteristic classes of flat bundles and determinant of the
Gauß-Manin connection.
Proceedings of the International
Congress of Mathematicians, Beijing 2002, Higher Education Press, 471-483.
pdf
62.Varieties over a finite field with trivial Chow group of 0-cycles
have a rational point.
Invent. math. 151 (2003), 187-191.
pdf
63.(with S. Bloch) The additive dilogarithm.
Documenta Math. Extra Volume: Kazuya Kato's Fiftieth Birthday (2003), 131-155.
pdf
64.(with D. Wan) Hodge type of the exotic cohomology
of complete intersections.
C. R. Acad. Sci. Paris, Ser. I 336 (2003), 153-157.
pdf
65.(with S. Bloch) Congruences for the number of rational points,
Hodge type and motivic conjectures for Fano varieties.
Cubo A Mathematical Journal, 05, no 03 (2003), 251-262.
pdf
66.(with S. Bloch and M. Levine) Decomposition of the
diagonal and eigenvalues of Frobenius for Fano hypersurfaces.
Am. J. of Mathematics, 127 no1 (2005), 193-207.
pdf
67.Eigenvalues of Frobenius acting on the l-adic cohomology
of complete intersections of low degree.
C. R. Acad. Sci. Paris, Ser. I 337 (2003), 317-320.
pdf
68.(with N. Katz): Cohomological divisibility and point count
divisibility.
Compositio math. 141 01 (2005), 93-100.
pdf
69.(with A. Beilinson, S. Bloch, P. Deligne):
Periods for irregular connections on curves, preprint 2003, 59 pages.
see below under Unpublished Manuscripts.
70.Some elementary theorems about divisibility of 0-cycles on abelian
varieties defined over finite fields.
International Mathematics Research Notices 19 (2004), 929-935.
pdf
71.(with S. Bloch): Local Fourier transforms and rigidity for D-modules.
Asian Journal of Mathematics, special issue dedicated to Armand Borel, Vol. 8, No 4 (2004), 587-606.
pdf
71b. Erratum to Thm.4.10 in: Local Fourier transforms and rigidity for D-modules.
Asian Journal of Mathematics, special issue dedicated to Armand Borel, Vol. 8, No 4 (2004), 587-606.
pdf
72.Appendix to "Congruences for rational points on varieties over finite fields"
by N. Fakhruddin and C. S. Rajan.
Math. Ann. 333 (2005), 811-814.
pdf
73.Deligne's integrality theorem in unequal characteristic and rational points over finite fields.
Annals of Mathematics 164 (2006), 715-730.
pdf
74.(with P. Deligne) Appendix to "Deligne's integrality theorem in
unequal characteristic and rational points over finite fields".
Annals of Mathematics 164 (2006), 726-730.
pdf
75.Variation of Artin's vanishing theorem.
Advances of Mathematics 198 (2005) issue 2, 435-438, special issue dedicated to M. Artin.
pdf
76.(with S. Bloch) Künneth projectors and correspondences for open varieties.
in Algebraic Cycles and Motives, vol. 2, 54-72. London Math. Soc. Lecture Note Ser. 344 (2007).
pdf
77.A remark on higher congruences for the number of rational points of varieties defined
over a finite field, preprint 2005, 6 pages.
see below under Unpublished Manuscripts
78.(with Phùng Hô Hai) The Gauß-Manin connection and Tannaka duality.
International Mathematics Research Notices 93878 (2006), 1-35.
pdf
79.(with S. Bloch and D. Kreimer) On motives associated to graph
polynomials.
Comm. Math. Phys. 267 no1 (2006), 181-225.
pdf
80.(with P. Berthelot and S. Bloch) On Witt vector cohomology
for singular varieties.
Compositio math. 143 (2007), 363-392.
pdf
81.(with M. Blickle and K. Rülling) Characteristic 0 and p
analogies, and some motivic cohomology.
in Global Aspects of Complex Geometry. ed. Catanese, Esnault, Huckelberry, Hulek, Peternell, Springer Verlag (2006), 59-82.
pdf
82.(with M. Blickle) Rational singularities and rational points.
Pure Appl. Math. Q. 4 (2008), no. 3, part 2, 729-741.
pdf
83.(with Phùng Hô Hai and X. Sun) On Nori's Fundamental Group Scheme.
Progress in Mathematics, Vol. 265 (2007), 377-398.
pdf
84.Partial connection for p-torsion line bundles in characteristic
p>0.
Inspired by S. S. Chern, 173-178, Nankai Tracts Math. 11, World Sci. Publ. Hackensack, NJ (2006).
pdf
85.(with Phùng Hô Hai) The fundamental groupoid scheme and applications.
Annales de l'Institut Fourier 58 (2008), 2381-2412.
pdf
86.(with Phùng Hô Hai) Packets in Grothendieck's Section Conjecture.
Advances in Mathematics 218 (2008), 395-416.
pdf
87.Coniveau over p-adic fields and points over finite fields.
C. R. Acad. Sci. Paris, Ser. I 345 (2007) 73-76.
pdf
88.(with C. Xu) Congruence for rational points over finite fields and
coniveau over local fields.
Transactions of the AMS 361 (2009), 2679-2688.
pdf
89.(with M. Levine) Tate motives and fundamental group, preprint 2007, 65 pages.
see below under Unpublished Manuscripts
90.(with A. Ogus) Hodge cohomology of invertible sheaves.
in Motives and Algebraic Cycles, A Celebration in Honour of Spencer J. Bloch.
American Mathematical Society, Fields Institute 56 (2009), 83-91.
pdf
91.Algebraic differential characters of flat connections with nilpotent residues.
in Algebraic Topology. Abel Prisen 4 (2007), Springer Verlag, 83-94.
pdf
92.(with O. Wittenberg)
Remarks on Cycle Classes of sections of the arithmetic fundamental group.
Moscow Mathematical Journal
9, (2009), 451-467,
pdf
93.(with O. Wittenberg)
On abelian birational sections.
Journal of the American Mathematical Society
23, (2010), 713-724,
pdf
94.(with Phùng Hô Hai) Two small remarks on Nori fundamental group scheme.
Advanced Studies in Pure Mathematics 60 (2010), 237-243.
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95.(with V. Mehta) Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles. Inventiones math. 181 (2010),
449-465.
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95b. (Little) Erratum to: Simply connected projective manifolds in characteristic p>0
have no nontrivial stratified bundles.
Inventiones math. 181 (2010),
449-465.
pdf
96.(with E. Viehweg)
On a rationality question in the Grothendieck ring of varieties.
Acta Mathematica Vietnamica
35 (2010), 31-41.
pdf
97.(with V. Mehta) Weak Density of the Fundamental Group Scheme.
Int. Math. Res. Not. IMRN
13 (2011), 3071-3081.
pdf
98.(with E. Viehweg) Surface singularities dominated by smooth varieties.
Journ. reine angew. Mathematik 649 (2010), 1-9.
pdf
99.(with A. Hogadi) On the algebraic fundamental group of smooth varieties
in characteristic p>0.
Transaction of the AMS 364 (2012), 2429-2442.
pdf
100.(with P. Berthelot and K. Ruelling) Rational points over finite fields
for regular models of algebraic varieties of Hodge type greater or equal to 1.
Annals of Mathematics 176 (2012), 1-96.
pdf
101.(with J. Nicaise) Finite group actions, rational fixed points and weak Néron models.
Pure Applied Math. Q. 7:4
in the Special issue in memory of Eckart Viehweg (2011), 1209--1240.
pdf
102.(with V. Srinivas) Algebraic versus topological entropy for
surfaces over finite fields.
Osaka J. of Math. 50 (2013), no 3, 827--846.
pdf
103.(with M. Kerz) Notes on Deligne's letter to Drinfeld dated March 5, 2007 preprint 2011, 19 pages.
See below under Unpublished Manuscripts
104.(with A. Langer) On a positive equicharacteristic variant of the
p-curvature conjecture.
Documenta Mathematica 18 (2013), 23--50.
pdf
105.(with X. Sun) Stratified bundles and étale fundamental group.
Ann. Sc. Norm. Pisa Cl. Sci. (5) XIII (2014), 1--18.
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106.(with S. Bloch snd M. Kerz) p-adic deformation of algebraic cycle classes.
Inventiones math. 195 (2014), 673--722.
pdf
107. On flat bundles in characteristic 0 and p>0.
European Congress of Mathematics, Krakow, 2--7 July, 2012, European Mathematical Society, 301--313.
pdf
108. (with M. Levine and O. Wittenberg) Index of varieties over Henselian fields and Euler
characteristic of coherent sheaves.
J. Algebraic Geometry, 24 (2015), 693--718.
pdf
109. (with M. Kerz) A finiteness theorem for Galois representations of function
fields over finite fields (after Deligne).
Acta Mathematica Vietnamica 37 4 (2012), 531--562.
pdf
109b. Errata: (with M. Kerz) A finiteness theorem for Galois representations of
function fields over finite fields (after Deligne).
pdf
110. (with C. Sabbah and J.-D. Yu) E1 degeneration of the irregular Hodge filtration,
with an appendix by Morihiko Saito.
Journal reine und angewandte Mathematik,
729 (2017), 171--227
pdf
111. (with O. Wittenberg) On the cycle map for zero-cycles over local fields,
with an appendix by Spencer Bloch.
Annales Scientifiques de l'École Normale Supérieure, 49 (4) (2016), 481--518
pdf
112. (with S. Bloch and M. Kerz) Deformations of algebraic cycle classes in characteristic 0.
Algebraic Geometry
1 (2014) 3, 290--310.
pdf
113. (with V. Srinivas) Simply connected varieties in characteristic p>0 ,
with an appendix by Jean-Benoît Bost.
Compositio math. 152 (2016), 255--287.
pdf
114. (with K. Oguiso) Non-liftability of automorphism groups of a K3 surface in positive
characteristic.
Math. Ann. 363 (2015), 1187--1206.
pdf
115. (with K. Oguiso and X. Yu) Automorphisms of elliptic K3 surfaces and Salem numbers of
maximal degree.
Algebraic Geometry 3 (2016), 496--507.
pdf
118. (with L. Kindler) Lefschetz theorems for tamely ramified coverings.
Proc. of the AMS 144 (2016), 5071--5080.
pdf
118b. (Little) Erratum to: Lefschetz theorems for tamely ramified coverings.
Proc. of the AMS 144 (2016), 5071--5080.
pdf
116. (with A. Shiho) Convergent isocrystals on simply connected varieties.
Annales de l'Institut Fourier 68 (2018) no 5, 2019--21-48.
pdf
117. (with M. Kerz and O. Wittenberg) A restriction isomorphism for cycles of
relative dimension zero.
Cambridge Journal of Mathematics 4 2 (2016), 163--196.
pdf
119. (with A. Shiho) Chern classes of crystals.
Transactions of the AMS 371 2 (2019), 1333-1358.
pdf
119b. (with A. Shiho) Existence of locally free lattices of crystals,
preprint 2015, 2 pages.
See below under Unpublished Manuscripts.
120. Some fundamental groups in arithmetic geometry.
Proceedings of Symposia in Pure Mathematics 97.2 (2018),
Algebraic Geometry Salt Lake City 2015, AMS, 169--179.
pdf
121. A remark on Deligne's finiteness theorem.
Int. Math. Res. Not.
16 (2017), 4962--4970
pdf
122. Survey on some aspects of Lefschetz theorems in algebraic geometry.
Revista Matemática Complutense, 30 (2) (2017), 217--232.
pdf
123. (with T. Abe) A Lefschetz theorem for overconvergent isocrystals with Frobenius structure.
Annales de l'Ecole Normale Supérieure, 52 (4) (2019), 1243--1264.
pdf
124. (with M. Kisin) D-modules and finite monodromy.
Selecta Mathematica,
volume dedicated to
Alexander Beilinson 24 (1) (2018), 217--232.
pdf
125. (with M. Harris) Chern classes of automorphic vector bundles.
Pure and Applied Mathematics
Quarterly 13 (2) (2017), 193--213.
pdf
126. (with M. Groechenig) Rigid connections and F-isocrystals.
Acta Mathematica 225 (1) (2020), 103--158.
pdf
127. (with V. Srinivas) A relative version of Gieseker's problem on stratifications in characteristic p>0.
Int. Math. Res. Not. 18 (2019), 5635--5648.
pdf
128. (with M. Groechenig) Cohomologically rigid connections and integrality.
Selecta Mathematica 24 (5) (2018), 4279--4292.
pdf
129. (with M. Harris) Chern classes of automorphic vector bundles, II.
Epiga 3 (2019), art. 14, 28 pages.
pdf
130. Cohomological dimension in pro-p-towers.
International Mathematics Research Notices 2021 8 (2021),
5757--5765.
pdf
131. (with L. Kindler and V. Srinivas) A note on fierce ramification.
J. of Algebra. 528 (2019), 250--259.
pdf
132. (with C. Sabbah) Good lattices of algebraic connections.
Documenta math. 24 (2019), 271--301.
pdf
133. (with M. Kerz) Arithmetic subspaces of moduli spaces of rank one local systems.
Cambridge Journal of Mathematics 8 (2020) (3), 453--478.
pdf
134. (with M. Kerz) Étale cohomology of rank one l-adic local systems in positive characteristic.
Selecta Mathematica 27 (2021) no 4, paper 58, 25 pages.
pdf
135. Survey on special subloci of the moduli spaces of local systems on complex varieties, preprint 2019,
8 pages
appears in Proceedings of the International Congress of Chinese Mathematicians (Beijing 2019).
pdf
136. (with M. Kerz) Density of Arithmetic Representations of Function Fields.
Epiga 6 (2022), art. 5, 18 pages.
pdf
137. Remembering Steve Zucker
Notices American Math. Soc. 68 (2021) no 7, 1156--1172 (1162-1163).
edited by David Cox and Michael Harris.
pdf
138. (with V. Srinivas) Bounding ramification by covers and curves.
in Nine mathematical challenges, Proceedings of Symposia in Pure Math,
AMS 104 (2021), 31--43.
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139. (with M. D'Addezio) On the universal extensions in Tannakian categories.
International Mathematics Research Notices 18 (2022), 14008-14033.
pdf
140. (with M. Kerz) Local systems with quasi-unipotent monodromy at infinity are dense, preprint 2021,
9 pages
Israel Journal of Mathematics 257 (2023), 251-262.
pdf
141. (with M. Shusterman and V. Srinivas) Finite presentation of the tame fundamental group.
Selecta Mathematica 28 (2022) no 2, paper 37, 19 pages.
pdf
142. (with V. Srinivas and J. Stix) An obstruction to lifting to characteristic 0.
Algebraic Geometry 10 (2023) no 3, 327--347.
pdf
143. (with M. Groechenig) Frobenius structures and unipotent monodromy at infinity,
preprint 2021, 8 pages.
Appendix to 'André-Oort for Shimura varieties' by J. Pila, Ananth Shankar, J. Tsimerman, 25 pages.
See below under Preprints.
144. (with D. Wan) Divisibility of Frobenius eigenvalues on l-adic cohomology.
Proceedings Indian Acad. Sci. Mathematical Sci. 132 (2002) 2, Paper 60.
pdf
145. (with J. de Jong and M. Groechenig) Rigid non-cohomologically rigid local systems,
preprint 2022, 6 pages
to appear in Algebraic Geometry and Physics 1
pdf
146. (with J. de Jong) Integrality of the Betti moduli space.
Transactions of the AMS 377 (1) (2024),431--448.
pdf
147. Lectures on Local Systems in Algebraic-Arithmetic Geometry.
Springer Lecture Notes 2337 (2023), i-vii+ 96 pp.
pdf
148. Some Arithmetic Properties of Complex Local Systems.
Notices American Math. Soc. 70 (2023) no11, 1793--1801.
pdf
149. Rational points over C1 fields,
preprint 2023, 9 pages
volume in memory of Manin, Springer
pdf
150. (with M. Groechenig) Crystallinity of rigid flat connections revisited,
26 pages
Appears in Selecta Mathematica
pdf
151. (with M. Kerz) Semi-stable Lefschetz pencils,
preprint 2023, 46 pages
See below under Preprints
152. (with M. Kerz) A non-abelian version of Deligne's Fixed Part Theorem,
preprint 2024, 23 pages
See below under Preprints
Books:
28. (with E.Viehweg) Lectures on Vanishing Theorems, Lecture Notes,
Birkhäuser, DMV Seminar 20 (1992) 164 pages.
pdf
147. Lectures on Local Systems in Algebraic-Arithmetic Geometry
Springer Lecture Notes 2337 (2023), i-vii + 96 pp
pdf
Preprints:
143. (with M. Groechenig) Frobenius structures and unipotent monodromy at infinity,
preprint 2021, 8 pages.
Appendix to 'André-Oort for Shimura varieties' by J. Pila, Ananth Shankar, J. Tsimerman, 25 pages.
pdf
151. (with M. Kerz) Semi-stable Lefschetz pencils,
preprint 2023, 48 pages
pdf
152. (with M. Kerz) A non-abelian version of Deligne's Fixed Part Theorem,
preprint 2024, 23 pages
pdf
Unpublished Manuscripts:
55. (with S. Bloch) A formula for Gauß-Manin determinants,
preprint 2000, 37 pages.
pdf
69. (with A. Beilinson, S. Bloch, P. Deligne):
Periods for irregular connections on curves, preprint 2003, 59 pages.
pdf
77. A remark on higher congruences for the number of rational points of varieties defined over a finite field, preprint 2005, 6 pages.
pdf
89. (with M. Levine) Tate motives and fundamental group, preprint 2007, 65 pages.
pdf
103. (with M. Kerz) Notes on Deligne's letter to Drinfeld dated March 5, 2007, preprint 2011, 19 pages.
pdf
119b. (with A. Shiho) Existence of locally free lattices of crystals,
preprint 2015, 2 pages.
pdf
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