The unipotent Albanese map and Selmer varieties for curves
Number Theory
2007-05-23 v5 Algebraic Geometry
Abstract
We discuss -adic unipotent Albanese maps for curves of positive genus, extending the theory of -adic multiple polylogarithms. This construction is then used to relate linear Diophantine conjectures of `Birch and Swinnerton-Dyer type' to non-linear theorems of Faltings-Siegel type.
Keywords
Cite
@article{arxiv.math/0510441,
title = {The unipotent Albanese map and Selmer varieties for curves},
author = {Minhyong Kim},
journal= {arXiv preprint arXiv:math/0510441},
year = {2007}
}
Comments
One minor error and several misprints corrected