## Esnault, Hélène and Harris, Michel - Chern classes of automorphic vector bundles, II

epiga:4238 - Épijournal de Géométrie Algébrique, October 24, 2019, Volume 3
Chern classes of automorphic vector bundles, II

Authors: Esnault, Hélène and Harris, Michel

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. Epiga, Vol. 3 (2019), Art. Nr. 14

Source : oai:arXiv.org:1801.08219
Volume: Volume 3
Published on: October 24, 2019
Submitted on: January 26, 2018
Keywords: Mathematics - Algebraic Geometry