Chern classes of automorphic vector bundles, II

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.

28 pages

Cited by in corpus (1)

• Lifting Chern classes by means of Ekedahl-Oort strata