Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces

2020/01/27 by Kanetomo Sato, Sato, Kanetomo
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #14F42 #14G10 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #Primary 19F27 #Secondary 11R34

paper · pdf · doi:10.48550/arxiv.2001.09845

openalex publication_date 2020/01/27 · openalex created_date 2020/01/30 · openalex updated_date 2026/07/28

Abstract

In this paper, we give an approach to the zeta values of a (proper regular) arithmetic scheme X at the integers r>=d:=dim(X), using étale cohomology of X with Q_p(r) and Z_p(r)-coefficients.

Citations

• Cycle classes for p-adic étale Tate twists and the image of p-adic regulators

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• Weil-étale cohomology and zeta-values of arithmetic schemes at negative integers