A vanishing theorem for vector-valued Siegel automorphic forms in characteristic $p$

Jean-Stefan Koskivirta

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arXiv · 2308.06870

A vanishing theorem for vector-valued Siegel automorphic forms in characteristic $p$

Jean-Stefan Koskivirta

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Abstract

We show that the space of vector-valued Siegel automorphic forms in characteristic $p$ 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.

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Jean-Stefan Koskivirta. 2023-08-14. A vanishing theorem for vector-valued Siegel automorphic forms in characteristic $p$. https://arxiv.org/abs/2308.06870

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