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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.AG2004
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.
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).