Line bundles and p-adic characters

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
The present preprint is a somewhat extended version of those parts of mathNT/0309273 which deal with line bundles and abelian varieties

Keywords

Algebraic Geometry, 14H60, 14H30, 11G20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72053

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407511
 http://arxiv.org/abs/math/0407511

Collections

arXiv