On the zero locus of normal functions and the étale Abel-Jacobi map

2009/02/11 by François Charles, Charles, François
Mathematics · #14C25 #14C30 #14D07 #14G25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0902.1948

openalex publication_date 2009/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate questions of an arithmetic nature related to the Abel-Jacobi map. We give a criterion for the zero locus of a normal function to be defined over a number field, and we give some comparison theorems with the Abel-Jacobi map coming from continuous étale cohomology.

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