The l-component of the unipotent Albanese map
Preprint
Abstract
We study the \Q_p-unipotent Albanese map for curves over local fields with residue characteristic different from p and show that it has finite image. As a corollary, we deduce a simple `pi_1'-proof of Siegel's theorem for rank 1 elliptic curves minus the origin.Keywords
All Related Versions
This publication has 3 references indexed in Scilit:
- L-Functions and Tamagawa Numbers of Motives2007
- The motivic fundamental group of P1∖{0,1,∞} and the theorem of SiegelInventiones Mathematicae, 2005
- Algebraic Groups and Class Fields1988