Divisibility of mod $p$ automorphic forms and the cone conjecture for certain Shimura varieties of Hodge-type

Autor:	Goldring, Wushi, Koskivirta, Jean-Stefan
Rok vydání:	2022
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	For several Hodge-type Shimura varieties of good reduction in characteristic $p$, we show that the cone of weights of automorphic forms is encoded by the stack of $G$-zips of Pink-Wedhorn-Ziegler. This establishes several instances of a general conjecture formulated in previous papers by the authors. Furthermore, we prove in these cases that any mod $p$ automorphic form whose weight lies in a specific region of the weight space is divisible by a partial Hasse invariant. This generalizes to other Shimura varieties previous results of Diamond--Kassaei on Hilbert modular forms. Comment: Updated version will be uploaded soon
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.16817 Zobrazit plný text záznamu View this record from Arxiv