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

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

2009-02-11

arxiv.org/abs/0902.1948v3

Mathematics

Algebraic Geometry

23 pages, some mistakes and typos fixed. An application added

Scientific paper

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 \'etale cohomology.

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