Hélène Esnault ; Michael Harris - Chern classes of automorphic vector bundles, II

epiga:4238 - Épijournal de Géométrie Algébrique, October 24, 2019, Volume 3 - https://doi.org/10.46298/epiga.2019.volume3.4238
Chern classes of automorphic vector bundles, IIArticle

Authors: Hélène Esnault ; Michael Harris

    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.


    Volume: Volume 3
    Published on: October 24, 2019
    Accepted on: October 24, 2019
    Submitted on: January 26, 2018
    Keywords: Mathematics - Algebraic Geometry
    Funding:
      Source : OpenAIRE Graph
    • Arithmetic of automorphic motives; Funder: European Commission; Code: 290766
    • Automorphic Galois Representations and Automorphic L-functions; Funder: National Science Foundation; Code: 1404769
    • Langlands Correspondences and Motivic L-Functions; Funder: National Science Foundation; Code: 1701651

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