Hélène Esnault | Academic Influence

Hélène Esnault's AcademicInfluence.com Rankings

Hélène Esnault

Mathematics

#808

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#1448

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Measure Theory

#2993

World Rank

#3553

Historical Rank

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Mathematics

Hélène Esnault's Degrees

PhD Mathematics Paris-Saclay University

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According to Wikipedia, Hélène Esnault is a French and German mathematician, specializing in algebraic geometry. Biography Born in Paris, Esnault earned her PhD in 1976 from the University of Paris VII. She wrote her dissertation on Singularites rationnelles et groupes algebriques under the direction of Lê Dũng Tráng.

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Hélène Esnault's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On Motives Associated to Graph Polynomials (2005) (237)
Lectures on Vanishing Theorems (2004) (210)
Logarithmic de Rham complexes and vanishing theorems (1986) (185)
Cohomology of local systems on the complement of hyperplanes (1992) (155)
Reflexive modules on quotient surface singularities. (1985) (108)
Varieties over a finite field with trivial Chow group of 0-cycles have a rational point (2002) (92)
Reflexive modules over rational double points (1985) (86)
Local Fourier Transforms and Rigidity for D-Modules (2003) (78)
The Arason invariant and mod 2 algebraic cycles (1998) (78)
$ε$-factors for Gauss-Manin determinants (2002) (75)
A FINITENESS THEOREM FOR GALOIS REPRESENTATIONS OF FUNCTION FIELDS OVER FINITE FIELDS (AFTER DELIGNE) (2012) (69)
An additive version of higher Chow groups (2001) (67)
The additive dilogarithm (2002) (66)
RETRACTED: DELIGNE-BEILINSON COHOMOLOGY (1988) (58)
ON NORI'S FUNDAMENTAL GROUP SCHEME (2006) (55)
Homology for irregular connections (2000) (54)
Chow groups of projective varieties of very small degree (1997) (54)
Cohomology of local systems on the complement of hyperplanes (1992) (51)
The universal regular quotient of the Chow group of points on projective varieties (1999) (50)
Dyson's Lemma for polynomials in several variables (and the Theorem of roth) (1984) (47)
On Witt vector cohomology for singular varieties (2005) (47)
Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields (1990) (45)
Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles (2009) (44)
ALGEBRAIC VERSUS TOPOLOGICAL ENTROPY FOR SURFACES OVER FINITE FIELDS (2011) (44)
Semistable bundles on curves and irreducible representations of the fundamental group (1998) (40)
The coniveau filtration and non-divisibility for algebraic cycles (1996) (38)
Coverings with odd ramification and Stiefel-Whitney classes. (1993) (34)
A Lefschetz theorem for overconvergent isocrystals with Frobenius structure (2016) (33)
E_1-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito) (2013) (33)
Hodge type of subvarieties of ℙn of small degrees (1990) (32)
p-adic deformation of algebraic cycle classes (2012) (31)
Hodge type of projective varieties of low degree (1992) (29)
Scientific Advisory Committee (2014) (28)
Chern classes of Gau{\ss}-Manin bundles of weight 1 vanish (2002) (28)
Algebraic Chern-Simons theory (1996) (28)
Tate motives and the fundamental group (2007) (27)
Gauß-Manin determinants for rank 1 irregular connections on curves (2001) (27)
Deformation of algebraic cycle classes in characteristic zero (2013) (26)
Two dimensional quotient singularities deform to quotient singularities (1985) (26)
Cohomologically rigid local systems and integrality (2017) (26)
Characteristic classes of flat bundles (1988) (26)
On the Loday symbol in the Deligne-Beilinson cohomology (1989) (21)
Index of varieties over Henselian fields and Euler characteristic of coherent sheaves (2012) (21)
Automorphisms of elliptic $K3$ surfaces and Salem numbers of maximal degree (2014) (21)
Non-liftability of automorphism groups of a K3 surface in positive characteristic (2014) (20)
A restriction isomorphism for cycles of relative dimension zero (2015) (20)
$\epsilon$-factors for Gauss-Manin determinants (2001) (20)
Surjectivity of cycle maps (2001) (20)
Rational points over finite fields for regular models of algebraic varieties of Hodge type $\geq 1$ (2010) (19)
Lefschetz theorems for tamely ramified coverings (2015) (19)
A Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory (1998) (18)
Decomposition of the diagonal and eigenvalues of Frobenius for Fano hypersurfaces (2003) (18)
Packets in Grothendieck's section conjecture ✩ (2007) (18)
On the cycle class map for zero-cycles over local fields (2013) (17)
The Gauss-Manin connection and Tannaka duality (2006) (17)
Rigid connections and $F$-isocrystals (2017) (16)
On a positive equicharacteristic variant of the $p$-curvature conjecture (2011) (16)
REMARKS ON ABSOLUTE DE RHAM AND ABSOLUTE HODGE CYCLES (1994) (15)
The fundamental groupoid scheme and applications (2006) (15)
Survey on some aspects of Lefschetz theorems in algebraic geometry (2016) (14)
Remarks on cycle classes of sections of the arithmetic fundamental group (2008) (13)
Algebraic Differential Characters (1996) (13)
Canonical Heights on Shimura Varieties and the Andr\'e-Oort Conjecture (2021) (12)
Finite group actions, rational fixed points and weak N\'eron models (2010) (12)
A note on the cycle map. (1990) (12)
Convergent isocrystals on simply connected varieties (2015) (11)
Rational Singularities and Rational Points (2006) (11)
On abelian birational sections (2009) (10)
GAUSS-MANIN DETERMINANT CONNECTIONS AND PERIODS FOR IRREGULAR CONNECTIONS (1999) (10)
PERIODS FOR IRREGULAR CONNECTIONS ON CURVES (2006) (10)
Eigenvalues of Frobenius acting on the ℓ-adic cohomology of complete intersections of low degree (2003) (10)
Higher Kodaira-Spencer classes (1994) (10)
Deligne's integrality theorem in unequal characteristic and rational points over finite fields; and Appendix (w/Pierre Deligne) (2004) (10)
On the algebraic fundamental group of smooth varieties in characteristic $p>0$ (2010) (10)
Simply connected varieties in characteristic $p>0$ (2014) (9)
Cohomological divisibility and point count divisibility (2003) (9)
Chern classes of crystals (2015) (9)
On flat bundles in characteristic 0 and $p>0$ (2012) (8)
Stratified bundles and \'etale fundamental group (2010) (8)
Arithmetic subspaces of moduli spaces of rank one local systems (2019) (8)
RELATIVE ALGEBRAIC DIFFERENTIAL CHARACTERS (1999) (8)
Hodge type of the exotic cohomology of complete intersections (2002) (7)
Künneth projectors for open varieties (2005) (7)
Algebraic theory of characteristic classes of bundles with connection (1998) (7)
Rigid connections, $F$-isocrystals and integrality (2017) (7)
Congruence for rational points over finite fields and coniveau over local fields (2007) (6)
On the Universal Extensions in Tannakian Categories (2020) (6)
Coniveau over $p$-adic fields and points over finite fields (2007) (6)
points on curves over complex function fields (1990) (6)
Chern classes of vector bundles with holomorphic connections on a complete smooth complex variety (1992) (6)
A remark on Deligne's finiteness theorem (2016) (6)
Surface singularities dominated by smooth varieties (2010) (6)
Chern classes of automorphic vector bundles, II (2017) (6)
Weak Density of the Fundamental Group Scheme (2009) (6)
Remarks on the pronilpotent completion of the fundamental group (2008) (6)
Density of Arithmetic Representations of Function Fields (2020) (6)
Local systems with quasi-unipotent monodromy at infinity are dense (2021) (5)
On the homotopy exact sequence for Nori's fundamental group (2009) (5)
Ample sheaves on moduli schemes (1991) (5)
Finite presentation of the tame fundamental group (2021) (5)
Decomposability of Chow groups implies decomposability of cohomology (2005) (5)
Appendix to ``Congruences for rational points on varieties over finite fields'' by N. Fakhruddin and C. S. Rajan (2004) (5)
Cohomological Dimension in Pro-p Towers (2018) (4)
ON A RATIONALITY QUESTION IN THE GROTHENDIECK RING OF VARIETIES (2009) (4)
Coniveau of classes of flat bundles trivialized on a finite smooth covering of a complex manifold (1994) (4)
Determinant Bundle in a Family of Curves,¶after A. Beilinson and V. Schechtman (1999) (4)
Characteristic classes of flat bundles and determinant of the Gauss-Manin connection (2002) (4)
Algebraic Differential Characters of Flat Connections with Nilpotent Residues (2007) (4)
Étale cohomology of rank one $$\ell $$-adic local systems in positive characteristic (2019) (4)
Characteristic Classes of Flat Bundles, II (2004) (4)
D-modules and finite monodromy (2016) (3)
Appendix to ``Deligne's integrality theorem in unequal characteristic and rational points over finite fields'' by Hélène Esnault (2004) (3)
Characteristic divisors on complex manifolds. (1992) (3)
Vanishing and non-vanishing theorems (2019) (3)
Some elementary theorems about divisibility of 0-cycles on abelian varieties defined over finite fields (2003) (2)
Congruences for the number of rational points, Hodge type and motivic conjectures for Fano varieties (2002) (2)
A remark on an algebraic Riemann-Roch formula for flat bundles (1997) (2)
A note on fierce ramification (2018) (2)
Rigid non-cohomologically rigid local systems (2022) (2)
Gau{\ss}-Manin determinants for rank one irregular connections on curves (1999) (2)
A remark on a non-vanishing theorem of P. Deligne and G. D. Mostow. (1987) (2)
Hodge Cohomology of Invertible Sheaves (2007) (2)
Characteristic 0 and p Analogies, and some Motivic Cohomology (2005) (2)
Logarithmic de Rham complexes (1992) (2)
The Steinberg curve (1999) (2)
A Relative Version of Gieseker’s Problem on Stratifications in Characteristic $\boldsymbol{p>0}$ (2019) (1)
Vanishing theorems for invertible sheaves (1992) (1)
Divisibility of Frobenius eigenvalues on $\ell$-adic cohomology (2022) (1)
An obstruction to lifting to characteristic 0 (2021) (1)
Two small remarks on Nori fundamental group scheme (2009) (1)
Lectures on Algebro-Geometric Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles (2000) (1)
A FORMULA FOR GAUSS-MANIN DETERMINANTS (2010) (1)
Integrality of the Betti moduli space (2022) (1)
Abelian birational sections in characteristic 0 (2009) (1)
A relative version of Gieseker's problem on stratifications in characteristic $p>0$ (2017) (1)
A regulator map for singular varieties (1990) (1)
Germs of de Rham cohomology classes which vanish at the generic point. (1998) (1)
Mini-Workshop: 1-Motives (2010) (1)
Variation on Artin's vanishing theorem☆ (2004) (1)
Some fundamental groups in arithmetic geometry (2015) (1)
Divisibility of Frobenius eigenvalues on $$\varvec{\ell }$$-adic cohomology (2022) (0)
A formula for Gau{\ss}-Manin determinants (2000) (0)
Deformation theory for cohomology groups (1992) (0)
APPENDIX CLASSES OF LOCAL SYSTEMS OF HERMITIAN VECTOR SPACES (2016) (0)
Kodaira’s vanishing theorem, a general discussion (1992) (0)
Partial connection for $p$-torsion line bundles in characteristic $p>0$ (2006) (0)
On a question of Pink and Roessler (2006) (0)
Differential forms and higher direct images (1992) (0)
Arithmetic of rank one local systems (2019) (0)
Algebraic Cycles and Motives: Künneth Projectors (2007) (0)
Gau{\ss}-Manin connection and Tannaka duality (2005) (0)
The universal regular quotient of the Chow group of 0-cycles on a singular projective variety (1997) (0)
A remark on higher congruences for the number of rational points of varieties defined over a finite field (2005) (0)
Title ALGEBRAIC VERSUS TOPOLOGICAL ENTROPY FOR SURFACES OVER FINITE FIELDS (0)
p-adic deformation of algebraic cycle classes (2013) (0)
Vanishing theorems, the formal set-up (1992) (0)
A G ] 6 D ec 2 02 0 ON THE UNIVERSAL EXTENSIONS IN TANNAKIAN CATEGORIES (2021) (0)
Integral parts of Q-divisors and coverings (1992) (0)
Remembering Steve Zucker (2021) (0)
Non-liftability of automorphism groups of a K3 surface in positive characteristic (2015) (0)
Some applications of vanishing theorems (1992) (0)
Good lattices of algebraic connections (2018) (0)
Survey on special subloci of the moduli spaces of local systems on complex varieties (2019) (0)
Cohomologically rigid local systems and integrality (2018) (0)
D-modules and finite monodromy (2016) (0)
The Gauss-Manin Connection and Tannaka Duality Hélène Esnault and Phùng (2005) (0)
Finite presentation of the tame fundamental group (2022) (0)
Survey on some aspects of Lefschetz theorems in algebraic geometry (2017) (0)
The proof of Deligne and Illusie [12] (1992) (0)
AN ADDITIVE VERSION OF HIGHER CHOW GROUPS UNE VERSION ADDITIVE DES GROUPES DE CHOW SUP ´ ERIEURS (2002) (0)
The Frobenius and its liftings (1992) (0)
Title ALGEBRAIC VERSUS TOPOLOGICAL ENTROPY FOR SURFACES OVER FINITE FIELDS (0)
0 Ju n 20 06 ON NORI ’ S FUNDAMENTAL GROUP SCHEME (2006) (0)
The Additive Dilogarithm To Kazuya Kato , with fondness and profound respect , on the occasion of his fiftieth birthday (2002) (0)
Vanishing theorems in characteristic p (1992) (0)
Lectures on Local Systems in Algebraic-Arithmetic Geometry (2023) (0)
Characteristic p methods: Lifting of schemes (1992) (0)
Stratified bundles and étale fundamental group (new version) (2011) (0)
Divisibility of Frobenius eigenvalues on (cid:2) -adic cohomology (2022) (0)
A G ] 1 5 N ov 2 00 6 THE FUNDAMENTAL GROUPOID SCHEME AND APPLICATIONS (0)
Cohomological Dimension in Prop Towers (2019) (0)
Ju l 2 00 5 A REMARK ON HIGHER CONGRUENCES FOR THE NUMBER OF RATIONAL POINTS OF VARIETIES DEFINED OVER A FINITE FIELD (2008) (0)
Good Lattices of Algebraic Connections (with an Appendix by Claude Sabbah) (2019) (0)
Algebraic Differential Characters of Flat (2009) (0)
[Bilateral adrenal tumors]. (2019) (0)
Bounding ramification by covers and curves (2020) (0)
Cohomological divisibility and pointwise divisibility (2003) (0)
L'INSTITUT FOURIER (2008) (0)
Ju n 20 21 AN OBSTRUCTION TO LIFTING TO CHARACTERISTIC 0 (2021) (0)
flat bundles, with values in the algebraic Chern-Simons theory (2016) (0)
Generic vanishing theorems [26], [14] (1992) (0)

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