Výsledky vyhledávání - "14G35, 20G40"

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The stack of $G$-zips is a Mori dream space

Autor: Koskivirta, Jean-Stefan

We first extend previous results of the author with T. Wedhorn and W. Goldring regarding the existence of $\mu$-ordinary Hasse invariants for Hodge-type Shimura varieties to other automorphic line bundles. We also determine exactly which line bundles

Externí odkaz: http://arxiv.org/abs/2402.09852

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

Autor: Koskivirta, Jean-Stefan

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 pre

Externí odkaz: http://arxiv.org/abs/2308.06870

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Partial Hasse invariants for Shimura varieties of Hodge-type

Autor: Imai, Naoki, Koskivirta, Jean-Stefan

Publikováno v: Adv. Math. 440 (2024), Paper No. 109518, 47 pp

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 o

Externí odkaz: http://arxiv.org/abs/2109.11117

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Automorphic vector bundles on the stack of $G$-zips

Autor: Imai, Naoki, Koskivirta, Jean-Stefan

Publikováno v: Forum Math. Sigma 9 (2021), Paper No. e37, 31 pp

For a connected reductive group $G$ over a finite field, we study automorphic vector bundles on the stack of $G$-zips. In particular, we give a formula in the general case for the space of global sections of an automorphic vector bundle in terms of t

Externí odkaz: http://arxiv.org/abs/2008.02525

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