Some consequences of the Riemann hypothesis for varieties over finite fields

1974/03/01 by Nicholas M. Katz, William Messing · 5 citations
Mathematics · #Advanced Mathematical Identities #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number #Algebraic variety #Analytic Number Theory Research #Cohomology #De Rham cohomology #Equivariant cohomology #Group cohomology #Mathematical analysis #Mathematics #Motivic cohomology #Pure mathematics #Riemann hypothesis #Étale cohomology

paper · doi:10.1007/bf01405203

crossref issued 1974/03/01 · crossref published 1974/03/01 · crossref published-print 1974/03/01 · openalex publication_date 1974/03/01 · crossref created 2005/04/02 · crossref deposited 2019/05/02 · openalex created_date 2025/10/10 · crossref indexed 2026/07/11 · openalex updated_date 2026/07/27

Cited by

• Fourier transforms and p-adic ‘Weil II’
• Valeurs propers des endomorphismes de Frobenius [d'après P. Deligne]
• An analytic approach to the Riemann hypothesis
• The Tate conjecture for K3 surfaces in odd characteristic
• Weil conjectures [wikipedia]