On some finiteness results for unramified cohomology

2016/02/14 by Igor A. Rapinchuk, Rapinchuk, Igor A.
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1602.04517

openalex publication_date 2016/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain several finiteness results for the unramified cohomology of function fields of algebraic varieties defined over fields of type (F'_m), a class that includes algebraically closed fields, finite fields, local fields, and some higher local fields of characteristic 0.

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