## 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 P
^{n}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**, BirkhÃ¤user, 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.

pdf

**Books:**

**Preprints:**

**Unpublished Manuscripts:**