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Hélène Esnault, List of publications, 2012
Articles:
- 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 - Classification des variétés de dimension 3 et plus. Séminaire Bourbaki, exp 568, Fév 81, Springer Lect. Notes in Math. 901, 111-131, (survey).
pdf - Fibre de Milnor d'un cône sur une courbe plane singulière, Inventiones math. 68 (1982), 477-496.
pdf - (with E. Viehweg) Revêtement cycliques. Algebraic Threefolds,
Proc. Varenna 1981. Springer Lect. Notes in Math. 947, 241 - 250
pdf - (with E. Viehweg) Sur une minoration du degré d'hypersurfaces
s'annulant en certains points. Math. Ann. 263 (1983) 75 - 86
pdf - (with E. Viehweg) Dyson's lemma for polynomials in several variables
(and the theorem of Roth). Inventiones math. 78 (1984) 445 - 490
pdf - (with E. Viehweg) Two dimensional quotient singularities deform to
quotient singularities. Math. Ann 271 (1985) 439 - 449
pdf - Reflexive modules on quotient surface singularities, Journ. reine angew. Math 362 (1985), 63-71.
pdf - (with E. Viehweg) Revêtements cycliques II, Proc. Algebraic Geometry,
La Rabida 1984, Hermann, Travaux en cours 23 (1987) 81 - 96
pdf - (with H. Knörrer) Reflexive modules over rational double points, Math. Ann. 272 (1985), 545-548
pdf - (with E. Viehweg) Logarithmic De Rham complexes and vanishing theorems.
Inventiones math. 86 (1986) 161 - 194
pdf - Characteristic classes of flat bundles, Topology 27 (1988), 323-352.
pdf - (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 - (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 - (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 - On the Loday symbol in the Deligne-Beilinson cohomology, K-Theory 3 (1989), 1-28
pdf - A note on the cycle map, Journal reine angew. Math. 411 (1990), 51-65.
pdf - (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 - A regulator map on singular varieties, Math. Ann. 286 (1990), 169-191
pdf - 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
pdf - 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.
pdf - Hodge type of subvarieties of Pn of small degrees, Math. Ann. 288 (1990), 549-551
pdf - (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 - (with J. Seade and E. Viehweg) Characteristic divisors on complex
manifolds.
Journ. reine angew. Math. 424 (1992) 17-30
pdf - (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 - (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 - (with M.V. Nori and V.Srinivas) Hodge type of projective varieties of low degree, Math. Ann. 293 (1992), 1-6
pdf - (with E. Viehweg) Lectures on Vanishing Theorems, Book, DMV-Seminar Band 20, Birkhäuser, 164 pages, see below under books.
- (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 - (with E. Viehweg) Higher Kodaira-Spencer classes.
Math. Ann. 299 (1994) 491-527
pdf - Characteristic classes of flat bundles, II, K-Theory 6 (1992), 45-56
pdf - (with M. Levine) Surjectivity of cycle maps, Journées de Géométrie Algébrique d'Orsay, Juillet 1992, Astérisque 218 (1993), 203-226.
pdf - (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 - (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 - Coniveau of classes of flat bundles trivialized on a smooth covering of a complex manifold, K-Theory 8 (1994), 483-488.
pdf - (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.
pdf - (with S. Bloch) The coniveau filtration and non-
divisibility for algebraic cycles, Math. Ann. 304 (1996), 303-314.
pdf - (with M. Levine and E. Viehweg) Chow groups on projective varieties
of very small degree. Duke Math. J. 87 (1997), 29-58
pdf (LaTeX-source) - (with S. Bloch) Algebraic Chern-Simons theory, Am. J. of
Mathematics 119 (1997), 903-952.
pdf - Recent developments on characteristic classes of
flat bundles on complex algebraic manifolds, Jber. d. Dt. Math.-Verein
98 (1996), 182-191, (survey).
pdf - (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 (LaTeX-source) - Algebraic Differential Characters, in Regulators in
Analysis, Geometry and Number Theory, Progress in Mathematics,
Birkhäuser Verlag, 171 (2000), 89-117.
pdf - A remark on an algebraic Riemann-Roch formula for flat
bundles, K-Theory 13 (1998), 61-68.
pdf - (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 (LaTeX-source) - (with E. Viehweg) Germs of de Rham cohomology classes
which vanish at the generic point. CRAS, Paris 326 (1998),
857-862
pdf (LaTeX-source) - Algebraic theory of characteristic classes of bundles with
connection, in Algebraic K-theory, Proceedings of Symposia
in pure Mathematics 67 (1999), 13-25.
pdf - (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 - (with E. Viehweg) Semistable bundles on curves and
irreducible representations of the fundamental group.
Contemporary Mathematics 241 (1999) 129 - 138
pdf (LaTeX-source) - (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 - (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 - (with M. Levine) The Steinberg curve, Am. J. of Mathematics 122 (2000), 783-804.
pdf - (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 - (with S. Bloch) Relatives Algebraic Characters, in Motives,
Polylogarithms and Hodge Theory, International Press
Lecture Series, vol. 3, part I (2002), 47-75.
pdf - (with S. Bloch) Gauß-Manin determinant connections and
periods for irregular connections, Geom. funct. anal. Special Volume-GAFA 2000, 1-31, Birkhäuser Verlag.
pdf - (with S. Bloch) A formula for Gauß-Manin determinants,
preprint 2000, 37 pages.
see below under Unpublished Manuscripts. - (with S. Bloch) Homology for irregular connections, Journal de Théorie des Nombres de
Bordeaux 16 (2004) no 2, 357-371.
pdf - (with C. Hertling) Semistable bundles and reducible
representations of the fundamental group, International Journal
of Mathematics 12, no7 (2001), 847-855.
pdf - (with A. Beilinson and S. Bloch): ε-factors for Gauß-Manin determinants, Moscow Mathematical Journal, 2 no 3 (2002), 1-56.
pdf - (with S. Bloch): An additive version of higher Chow
groups, Annales Scientifiques de l'École Normale Supérieure, 4-o série, 36 (2003), 463-477.
pdf - (with E. Viehweg) Chern classes of Gauß-Manin bundles
of weight 1 vanish. K-theory 26 (2002) 287-305
pdf (LaTeX-source) - 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 - Varieties over a finite field with trivial Chow group of 0-cycles
have a rational point, Invent. math. 151 (2003), 187-191.
pdf - (with S. Bloch) The additive dilogarithm, Documenta Math. Extra Volume: Kazuya Kato's Fiftieth Birthday (2003), 131-155.
pdf - (with D. Wan) Hodge type of the exotic cohomology
of complete intersections, C. R. Acad. Sci. Paris, Ser. I 336 (2003), 153-157.
pdf - (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 - (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 - 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 - (with N. Katz): Cohomological divisibility and point count
divisibility, Compositio math. 141 01 (2005), 93-100.
pdf - (with A. Beilinson, S. Bloch, P. Deligne):
Periods for irregular connections on curves, preprint 2003, 59 pages.
see below under Unpublished Manuscripts. - Some elementary theorems about divisibility of 0-cycles on abelian
varieties defined over finite fields, International Mathematics Research Notices 19 (2004), 929-935.
pdf - (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 - 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 - Deligne's integrality theorem in unequal characteristic and rational points over finite fields, Annals of Mathematics 164 (2006), 715-730.
pdf - (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 - Variation of Artin's vanishing theorem, Advances of Mathematics 198 (2005) issue 2, 435-438, special issue dedicated to M. Artin.
pdf - (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 - 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 - (with Phùng Hô Hai) The Gauß-Manin connection and Tannaka duality, International Mathematics Research Notices 93878 (2006), 1-35.
pdf - (with S. Bloch and D. Kreimer) On motives associated to graph
polynomials, Comm. Math. Phys. 267 no1 (2006), 181-225.
pdf - (with P. Berthelot and S. Bloch) On Witt vector cohomology
for singular varieties, Compositio math. 143 (2007), 363-392.
pdf - (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 - (with M. Blickle) Rational singularities and rational points, Pure Appl. Math. Q. 4 (2008), no. 3, part 2, 729-741.
pdf - (with Phùng Hô Hai and X. Sun) On Nori's Fundamental Group Scheme, Progress in Mathematics, Vol. 265 (2007), 377-398.
pdf - 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 - (with Phùng Hô Hai) The fundamental groupoid scheme and applications, Annales de l'Institut Fourier 58 (2008), 2381-2412.
pdf - (with Phùng Hô Hai) Packets in Grothendieck's Section Conjecture, Advances in Mathematics 218 (2008), 395-416.
pdf - Coniveau over p-adic fields and points over finite fields, C. R. Acad. Sci. Paris, Ser. I 345 (2007) 73-76.
pdf - (with C. Xu) Congruence for rational points over finite fields and
coniveau over local fields, Transactions of the AMS 361 (2009), 2679-2688.
pdf - (with M. Levine) Tate motives and fundamental group, preprint 2007, 65 pages.
See below under Unpublished Manuscripts - (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 - Algebraic differential characters of flat connections with nilpotent residues, in Algebraic Topology, Abel Prisen 4 (2007), Springer Verlag, 83-94.
pdf - (with O. Wittenberg)
Remarks on Cycle Classes of sections of the arithmetic fundamental group. Moscow Mathematical Journal
9, (2009), 451-467.
pdf - (with O. Wittenberg)
On abelian birational sections. Journal of the American Mathematical Society
23, (2010), 713-724.
pdf - (with Phùng Hô Hai) Two small remarks on Nori fundamental group scheme. Advanced Studies in Pure Mathematics 60 (2010), 237-243.
pdf - (with V. Mehta) Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles. Inventiones math. 181 (2010) 449-465.
pdf - (with E. Viehweg)
On a rationality question in the Grothendieck ring of varieties. Acta Mathematica Vietnamica
35, (2010), 31-41.
pdf - (with V. Mehta) Weak Density of the Fundamental Group Scheme. Int. Math. Res. Not. IMRN 13 (2011), 3071-3081.
pdf - (with E. Viehweg) Surface singularities dominated by smooth varieties, Journ. reine angew. Mathematik 649 (2010), 1-9.
pdf - (with A. Hogadi) On the algebraic fundamental group of smooth varieties in characteristic p>0,
Tansactions of the AMS 364 (2012), 2429-2442.
pdf - (with P. Berthelot and K. Ruelling) Rational points over finite fields
for regular models of algebraic varieties of Hodge type &ge 1,
Annals of Mathematics 176 (2012), 1-96.
pdf - (with J. Nicaise) Finite group actions, rational fixed points and weak Néron models,
Pure and Applied Quaterly
Q. 7:4, in the Special issue in memory of Eckart Viehweg (2011),
1209--1240.
pdf - (with V. Srinivas) Algebraic versus topological entropy for
surfaces over finite fields, preprint 2011, 18 pages, appears in the Osaka J. Math.
pdf - (with M. Kerz) Notes on Deligne's letter to Drinfeld dated March 5, 2011, preprint 2011, 19 pages.
See below under Unpublished Manuscripts - (with A. Langer) On a positive equicharacteristic variant of the
p-curvature conjecture, preprint 2011, 32 pages.
See below under Preprints - (with X. Sun) Stratified bundles and étale fundamental group, preprint 2011, 18 pages. Appears in Ann. Sc. Norm. Pisa
pdf - (with S. Bloch and M. Kerz) p-adic deformation of algebraic cycle classes, preprint 2012, 36 pages.
See below under Preprints - On flat bundles in characteristic 0 and p>0, ECM contribution, preprint 2012, 13 pages.
See below under Preprints - (with M. Levine and O. Wittenberg) Index of varieties over Henselian fields and Euler characteristic of coherent sheaves, preprint 2012, 20 pages.
See below under Preprints - (with M. Kerz) A finiteness theorem for Galois representations of function fields over finite fields (after Deligne) preprint 2012, 37 pages.
See below under Preprints - (with E.Viehweg) Lectures on Vanishing Theorems, Lecture Notes,
Birkhäuser, DMV Seminar 20 (1992) 164 pages
(LaTeX-source) ps ps.gz pdf - 104.(with A. Langer) On a positive equicharacteristic variant of the
p-curvature conjecture, preprint 2011, 32 pages.
pdf - 106.(with S. Bloch and M. Kerz) p-adic deformation of algebraic cycle classes, preprint 2012, 36 pages.
pdf - 107. On flat bundles in characteristic 0 and p>0, ECM contribution
preprint 2012, 13 pages.
pdf - 108. (with M. Levine and O. Wittenberg) Index of varieties over Henselian fields and Euler characteristic, preprint 2012, 20 pages.
pdf - 109. (with M. Kerz) A finiteness theorem for Galois representations of function fields over finite fields (after Deligne), preprint 2012, 37 pages.
pdf - 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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Books:
Preprints:
Unpublished Manuscripts: