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arXiv · 1701.09073

Chern classes of automorphic vector bundles

Hélène Esnault·Michael Harris
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Abstract

We prove that Chern classes in continuous $\ell$-adic cohomology of automorphic bundles associated to representations of $G$ on a projective Shimura variety with data $(G,X)$ are trivial rationally. It is a consequence of Beilinson's conjectures which predict that the Chern classes in the Chow groups vanish rationally.

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Hélène Esnault, Michael Harris. 2017-01-31. Chern classes of automorphic vector bundles. https://arxiv.org/abs/1701.09073

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