The unipotent Albanese map and Selmer varieties for curves

Details The unipotent Albanese map and Selmer varieties for curves The unipotent Albanese map and Selmer varieties for curves

2005-10-20

arxiv.org/abs/math/0510441v5

Mathematics

Number Theory

One minor error and several misprints corrected

Scientific paper

We discuss $p$-adic unipotent Albanese maps for curves of positive genus,
extending the theory of $p$-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.

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