Chern classes of automorphic vector bundles
Algebraic Geometry
2017-02-01 v1 Number Theory
Abstract
We prove that Chern classes in continuous -adic cohomology of automorphic bundles associated to representations of on a projective Shimura variety with data are trivial rationally. It is a consequence of Beilinson's conjectures which predict that the Chern classes in the Chow groups vanish rationally.
Cite
@article{arxiv.1701.09073,
title = {Chern classes of automorphic vector bundles},
author = {Hélène Esnault and Michael Harris},
journal= {arXiv preprint arXiv:1701.09073},
year = {2017}
}
Comments
18 pages