Line bundles and p-adic characters
Algebraic Geometry
2007-05-23 v1
Abstract
For a certain class of vector bundles E on abelian varieties A over local fields containing all line bundles algebraically equivalent to zero we define a canonical representation of the Tate module of A on the fibre of E in the zero section. This extends an old construction of Tate for line bundles to vector bundles of higher rank. We also compare this construction to the theory of parallel transport for vector bundles on p-adic curves developed in mathAG/0403516. Relations with the Hodge-Tate decomposition are also explained.
Cite
@article{arxiv.math/0407511,
title = {Line bundles and p-adic characters},
author = {Christopher Deninger and Annette Werner},
journal= {arXiv preprint arXiv:math/0407511},
year = {2007}
}
Comments
The present preprint is a somewhat extended version of those parts of mathNT/0309273 which deal with line bundles and abelian varieties