17 citations · 32 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
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…
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).
Cohomological divisibility and point count divisibility
Hélène Esnault, Nicholas M. Katz
We show that Ax-Katz divisibility on the number of rational points of a variety defined over a finite field by equations of low degrees comes from divisibility of the eigenvalues o…