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math.NT2004
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…
math.NT2004
Deligne's integrality theorem in unequal characteristic and rational points over finite fields; and Appendix (w/Pierre Deligne)
Hélène Esnault
If is a smooth projective variety defined over a local field with finite residue field, so that its étale cohomology over the algebraic closure is supported in co…
math.NT2004
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).