Partial Hasse invariants for Shimura varieties of Hodge-type

Autor:	Imai, Naoki, Koskivirta, Jean-Stefan
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory Mathematics - Representation Theory 14G35 20G40
Zdroj:	Adv. Math. 440 (2024), Paper No. 109518, 47 pp
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aim.2024.109518
Popis:	For a connected reductive group $G$ over a finite field, we define partial Hasse invariants on the stack of $G$-zip flags. We obtain similar sections on the flag space of Shimura varieties of Hodge-type. They are mod $p$ automorphic forms which cut out a single codimension one stratum. We study their properties and show that such invariants admit a natural factorization through higher rank automorphic vector bundles. We define the socle of an automorphic vector bundle, and show that partial Hasse invariants lie in this socle. Comment: 38 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.11117 Zobrazit plný text záznamu View this record from Arxiv