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Calegari, Frank; Geraghty, David (, Duke Mathematical Journal)
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Eischen, Ellen; Harris, Michael; Li, Jian-Shu; Skinner, Christopher (, Forum of mathematics)
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Esnault, H.; Harris, M. (, Épijournal de géométrie algébrique)We prove that the ℓ-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over ℚ¯𝑝, descend to classes in the ℓ-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.more » « less
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Esnault, Hélène; Harris, Michael (, Épijournal de géométrie algébrique)We prove that the l-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over \bar{Q}_p, descend to classes in the l-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.more » « less
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Böckle, Gebhard; Harris, Michael; Khare, Chandrashekhar; Thorne, Jack A. (, Acta Mathematica)
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