Fourier transforms and p-adic ‘Weil II’

2006/11/01 by Kiran S. Kedlaya · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #advanced mathematical theories #Advanced Algebra and Geometry #Mathematics #Cohomology #Pure mathematics #Fourier transform #Algebra over a field #Mathematical analysis

paper · pdf · doi:10.1112/s0010437x06002338

openalex publication_date 2006/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We give a purity theorem in the manner of Deligne's ‘Weil II’ theorem for rigid cohomology with coefficients in an overconvergent -adic differential equations by André, Christol, Crew, Kedlaya, Matsuda, Mebkhout and Tsuzuki.

Citations

• On the Rationality of the Zeta Function of an Algebraic Variety
• Some consequences of the Riemann hypothesis for varieties over finite fields
• La conjecture de Weil : I
• Smoothness, semi-stability and alterations
• La conjecture de Weil : II

Cited by

• Arithmetic geometry of quantum connections on Calabi-Yau 3-folds
• Weil conjectures [wikipedia]