Systems of Hecke eigenvalues on subschemes of Shimura varieties

Autor:	Reppen, Stefan
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages. Comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.11720 Zobrazit plný text záznamu View this record from Arxiv