Computing zeta functions via p-adic cohomology

2004/03/15 by Kiran S. Kedlaya, Kedlaya, Kiran S.
Computer Science · Mathematics · #11M38 #11Y99 #14F30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Topological and Geometric Data Analysis #advanced mathematical theories #math.AG #math.NT #msc:11M38 #msc:11Y99 #msc:14F30

paper · pdf · doi:10.48550/arxiv.math/0403233

18 pages; to appear in the Proceedings of ANTS-VI (Algorithmic Number Theory Symposium, 2004)

arxiv created 2004/03/15 · openalex publication_date 2004/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey some recent applications of p-adic cohomology to machine computation of zeta functions of algebraic varieties over finite fields of small characteristic, and suggest some new avenues for further exploration.

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