On the zero locus of normal functions and the étale Abel-Jacobi map
arXiv:0902.1948
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.
23 pages, some mistakes and typos fixed. An application added