Some consequences of the Riemann hypothesis for varieties over finite fields

Nicholas M. Katz, William Messing

Research output: Contribution to journalArticlepeer-review

194 Scopus citations

Abstract

We deduce from Deligne's form of the Riemann hypothesis and the hard Lefschetz theorem inl-adic cohomology the corresponding facts for any "reasonable" cohomology theory, in particular for crystalline cohomology, and give some applications to algebraic cycles.

Original languageEnglish (US)
Pages (from-to)73-77
Number of pages5
JournalInventiones Mathematicae
Volume23
Issue number1
DOIs
StatePublished - Mar 1 1974

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