Hélène Esnault, List of publications, 2011
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").
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2.Classification des variétés de dimension 3 et plus. Séminaire Bourbaki, exp 568, Fév 81, Springer Lect. Notes in Math. 901, 111-131, (survey).
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3.Fibre de Milnor d'un cône sur une courbe plane singulière, Inventiones math. 68 (1982), 477-496.
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4.(with E. Viehweg) Revêtement cycliques. Algebraic Threefolds,
Proc. Varenna 1981. Springer Lect. Notes in Math. 947, 241 - 250
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5.(with E. Viehweg) Sur une minoration du degré d'hypersurfaces
s'annulant en certains points. Math. Ann. 263 (1983) 75 - 86
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6.(with E. Viehweg) Dyson's lemma for polynomials in several variables
(and the theorem of Roth). Inventiones math. 78 (1984) 445 - 490
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7.(with E. Viehweg) Two dimensional quotient singularities deform to
quotient singularities. Math. Ann 271 (1985) 439 - 449
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8.Reflexive modules on quotient surface singularities, Journ. reine angew. Math 362 (1985), 63-71.
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9.(with E. Viehweg) Revêtements cycliques II, Proc. Algebraic Geometry,
La Rabida 1984, Hermann, Travaux en cours 23 (1987) 81 - 96
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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
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12.Characteristic classes of flat bundles, Topology 27 (1988), 323-352.
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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
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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
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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
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16.On the Loday symbol in the Deligne-Beilinson cohomology, K-Theory 3 (1989), 1-28
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17.A note on the cycle map, Journal reine angew. Math. 411 (1990), 51-65.
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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
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19.A regulator map on singular varieties, Math. Ann. 286 (1990), 169-191
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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
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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
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24.(with J. Seade and E. Viehweg) Characteristic divisors on complex
manifolds.
Journ. reine angew. Math. 424 (1992) 17-30
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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.
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26.(with V. Schechtman and E.Viehweg) Cohomology of local systems
on the complement of hyperplanes.
Invent. math. 109 (1992) 557-561
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Erratum: Invent. math. 112 (1993) 447
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27.(with M.V. Nori and V.Srinivas) Hodge type of projective varieties of low degree, Math. Ann. 293 (1992), 1-6
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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
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30.(with E. Viehweg) Higher Kodaira-Spencer classes.
Math. Ann. 299 (1994) 491-527
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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.
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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
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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.
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35.Coniveau of classes of flat bundles trivialized on a smooth covering of a complex manifold, K-Theory 8 (1994), 483-488.
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36.(with K. Corlette) Classes of local systems of Q hermitian
vector spaces, Preprint 1994, 6 pages, appendix to "Riemann-Roch
for flat bundles" by J.-M. Bismut, Chinese Annals of
Mathematics 26B:1 (2005), 15-44.
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37.(with S. Bloch) The coniveau filtration and non-
divisibility for algebraic cycles, Math. Ann. 304 (1996), 303-314.
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38.(with M. Levine and E. Viehweg) Chow groups on projective varieties
of very small degree. Duke Math. J. 87 (1997), 29-58
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(LaTeX-source)
39.(with S. Bloch) Algebraic Chern-Simons theory, Am. J. of
Mathematics 119 (1997), 903-952.
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40.Recent developments on characteristic classes of
flat bundles on complex algebraic manifolds, Jber. d. Dt. Math.-Verein
98 (1996), 182-191, (survey).
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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
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(LaTeX-source)
42.Algebraic Differential Characters, in Regulators in
Analysis, Geometry and Number Theory, Progress in Mathematics,
Birkhäuser Verlag, 171 (2000), 89-117.
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43.A remark on an algebraic Riemann-Roch formula for flat
bundles, K-Theory 13 (1998), 61-68.
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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
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(LaTeX-source)
45.(with E. Viehweg) Germs of de Rham cohomology classes
which vanish at the generic point. CRAS, Paris 326 (1998),
857-862
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(LaTeX-source)
46.Algebraic theory of characteristic classes of bundles with
connection, in Algebraic K-theory, Proceedings of Symposia
in pure Mathematics 67 (1999), 13-25.
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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.
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48.(with E. Viehweg) Semistable bundles on curves and
irreducible representations of the fundamental group.
Contemporary Mathematics 241 (1999) 129 - 138
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(LaTeX-source)
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.
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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.
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51.(with M. Levine) The Steinberg curve, Am. J. of Mathematics 122 (2000), 783-804.
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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.
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53.(with S. Bloch) Relatives Algebraic Characters, in Motives,
Polylogarithms and Hodge Theory, International Press
Lecture Series, vol. 3, part I (2002), 47-75.
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54. (with S. Bloch) Gauß-Manin determinant connections and
periods for irregular connections, Geom. funct. anal. Special Volume-GAFA 2000, 1-31, Birkhäuser Verlag.
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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 Téorie des Nombres de
Bordeaux 16 (2004) no 2, 357-371.
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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.
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59.(with S. Bloch): An additive version of higher Chow
groups, Annales Scientifiques de l'École Normale Supérieure, 4-o série, 36 (2003), 463-477.
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60.(with E. Viehweg) Chern classes of Gauß-Manin bundles
of weight 1 vanish. K-theory 26 (2002) 287-305
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(LaTeX-source)
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.
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62.Varieties over a finite field with trivial Chow group of 0-cycles
have a rational point, Invent. math. 151 (2003), 187-191.
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63.(with S. Bloch) The additive dilogarithm, Documenta Math. Extra Volume: Kazuya Kato's Fiftieth Birthday (2003), 131-155.
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64.(with D. Wan) Hodge type of the exotic cohomology
of complete intersections, C. R. Acad. Sci. Paris, Ser. I 336 (2003), 153-157.
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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.
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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.
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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.
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68.(with N. Katz): Cohomological divisibility and point count
divisibility, Compositio math. 141 01 (2005), 93-100.
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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.
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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.
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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.
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73.Deligne's integrality theorem in unequal characteristic and rational points over finite fields, Annals of Mathematics 164 (2006), 715-730.
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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.
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75.Variation of Artin's vanishing theorem, Advances of Mathematics 198 (2005) issue 2, 435-438, special issue dedicated to M. Artin.
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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).
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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.
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79.(with S. Bloch and D. Kreimer) On motives associated to graph
polynomials, Comm. Math. Phys. 267 no1 (2006), 181-225.
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80.(with P. Berthelot and S. Bloch) On Witt vector cohomology
for singular varieties, Compositio math. 143 (2007), 363-392.
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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.
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82.(with M. Blickle) Rational singularities and rational points, Pure Appl. Math. Q. 4 (2008), no. 3, part 2, 729-741.
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83.(with Phùng Hô Hai and X. Sun) On Nori's Fundamental Group Scheme, Progress in Mathematics, Vol. 265 (2007), 377-398.
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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).
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85.(with Phùng Hô Hai) The fundamental groupoid scheme and applications, Annales de l'Institut Fourier 58 (2008), 2381-2412.
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86.(with Phùng Hô Hai) Packets in Grothendieck's Section Conjecture, Advances in Mathematics 218 (2008), 395-416.
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87.Coniveau over p-adic fields and points over finite fields, C. R. Acad. Sci. Paris, Ser. I 345 (2007) 73-76.
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88.(with C. Xu) Congruence for rational points over finite fields and
coniveau over local fields, Transactions of the AMS 361 (2009), 2679-2688.
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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.
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91.Algebraic differential characters of flat connections with nilpotent residues, in Algebraic Topology, Abel Prisen 4 (2007), Springer Verlag, 83-94.
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92.(with O. Wittenberg)
Remarks on Cycle Classes of sections of the arithmetic fundamental group. Moscow Mathematical Journal
9, (2009), 451-467,
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93.(with O. Wittenberg)
On abelian birational sections. Journal of the American Mathematical Society
23, (2010), 713-724,
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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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96.(with E. Viehweg)
On a rationality question in the Grothendieck ring of varieties. Acta Mathematica Vietnamica
35 (2010), 31-41.
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97.(with V. Mehta) Weak Density of the Fundamental Group Scheme. Int. Math. Res. Not. IMRN}
13 (2011), 3071-3081.
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98.(with E. Viehweg) Surface singularities dominated by smooth varieties,
Journ. reine angew. Mathematik 649 (2010), 1-9.
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99.(with A. Hogadi) On the algebraic fundamental group of smooth varieties
in characteristic p>0, to appear in the Transaction of the AMS.
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100.(with P. Berthelot and K. Ruelling) Rational points over finite fields
for regular models of algebraic varieties of Hodge type &ge 1, preprint
2010, 79 pages, to appear in the Annals of Mathematics.
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101.(with J. Nicaise) Finite group actions, rational fixed points and weak Néron models,
preprint 2010, 26 pages, to appear in the special Quarterly issue dedicated to the memory of Eckart Viehweg.
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102.(with V. Srinivas) Algebraic versus topological entropy for
surfaces over finite fields, preprint 2011, 18 pages.
See below under Preprints
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, preprint 2011, 32 pages.
See below under Preprints
105.(with X. Sun) Stratified bundles and étale fundamental group, preprint 2011, 18 pages.
See below under Preprints
Books:
(with E.Viehweg) Lectures on Vanishing Theorems, Lecture Notes,
Birkhäuser, DMV Seminar 20 (1992) 164 pages
(LaTeX-source)
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ps.gz
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Preprints:
102.(with V. Srinivas) Algebraic versus topological entropy for
surfaces over finite fields, preprint 2011, 18 pages.
pdf
104.(with A. Langer) On a positive equicharacteristic variant of the
p-curvature conjecture, preprint 2011, 32 pages.
pdf
105.(with X. Sun) Stratified bundles and étale fundamental group, preprint 2011, 18 pages.
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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.
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