A vanishing theorem for vector-valued Siegel automorphic forms in characteristic $p$
Number Theory
2024-02-28 v2 Algebraic Geometry
Abstract
We show that the space of vector-valued Siegel automorphic forms in characteristic is zero when the weight is outside of an explicit locus. This result is a special case of a general conjecture about Hodge-type Shimura varieties formulated in previous work with W. Goldring.
Cite
@article{arxiv.2308.06870,
title = {A vanishing theorem for vector-valued Siegel automorphic forms in characteristic $p$},
author = {Jean-Stefan Koskivirta},
journal= {arXiv preprint arXiv:2308.06870},
year = {2024}
}