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arXiv:2409.11720 [math.NT]AbstractReferencesReviewsResources

Systems of Hecke eigenvalues on subschemes of Shimura varieties

Stefan Reppen

Published 2024-09-18Version 1

We show that the systems of Hecke eigenvalues that appear in the coherent cohomology with coefficients in automorphic line bundles of any mod $p$ abelian type compact Shimura variety at hyperspecial level are the same as those appearing in any Hecke-equivariant closed subscheme. We also prove analogous results for noncompact Shimura varieties or nonclosed subschemes, such as Ekedahl-Oort strata, length strata and central leaves.

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