17 citations · 32 across the 14 of their papers we have counts for
28 papers
Gauß-Manin connection and Tannaka duality
Hélène Esnault, Phùng Hô Hai
In analogy with the étale fundamental groups, we express the Gauß-Manin connection for in Tannaka terms. One difficulty is that unlike for fundamental groups, the Tannaka gro…
A remark on higher congruences for the number of rational points of varieties defined over a finite field
Hélène Esnault
We show that there is no simple congruence formula for the number of points of the mod p reduction of a regular model of a smooth proper variety defined over a local field with $\e…
Künneth projectors for open varieties
Spencer Bloch, Hélène Esnault
We consider correspondences on smooth quasiprojective varieties . An algebraic cycle inducing the Künneth projector onto is constructed. Assuming normal crossings at in…
Appendix to ``Deligne's integrality theorem in unequal characteristic and rational points over finite fields'' by Hélène Esnault
Pierre Deligne, Hélène Esnault
One extends P. Deligne's notion of integrality over a finite field for a -adic sheaf on a scheme of finite type over a local field with finite residue field. One shows that t…
Variation on Artin's vanishing theorem
Hélène Esnault
We give a proof of Artin's vanishing theorem in characteristic zero, based on Deligne's Riemann-Hilbert correspondence. Just as a curiosity.
Appendix to "Congruences for rational points on varieties over finite fields" by N. Fakhruddin and C. S. Rajan
Hélène Esnault
We give a positive answer to the questions 4.4 on Hodge type and 4.2 on divisibility of the eigenvalues of Frobenius of the article by N. Fakhruddin and C. S. Rajan (NT/0402230).