Geodesic
Chern classes of automorphic vector bundles, II
Épijournal de Géométrie Algébrique, Tome 3 (2019)

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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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     author = {Esnault, H\'el\`ene and Harris, Michael},
     title = {Chern classes of automorphic vector bundles, {II}},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     volume = {3},
     year = {2019},
     doi = {10.46298/epiga.2019.volume3.4238},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2019.volume3.4238/}
}
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Esnault, Hélène; Harris, Michael. Chern classes of automorphic vector bundles, II. Épijournal de Géométrie Algébrique, Tome 3 (2019). doi: 10.46298/epiga.2019.volume3.4238

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