Line bundles and p-adic characters

Details Line bundles and p-adic characters Line bundles and p-adic characters

2004-07-29

arxiv.org/abs/math/0407511v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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