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arXiv · 1801.08219

Chern classes of automorphic vector bundles, II

Hélène Esnault·Michael Harris
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Abstract

We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the minimal compactifications. These are invariant under the Galois group of the $p$-adic field above which the variety and the bundle are defined.

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Hélène Esnault, Michael Harris. 2018-01-24. Chern classes of automorphic vector bundles, II. https://doi.org/10.46298/epiga.2019.volume3.4238

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