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

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.

arXiv comment23 pages, some mistakes and typos fixed. An application added

References in corpus (2)

• Hausdorff property of the Neron models of Green, Griffiths and Kerr
• The zero locus of an admissible normal function