Weights of mod automorphic forms and partial Hasse invariants
W Goldring, N Imai, JS Koskivirta - arXiv preprint arXiv:2211.16207, 2022 - arxiv.org
For a connected, reductive group $ G $ over a finite field endowed with a cocharacter $\mu
$, we define the zip cone of $(G,\mu) $ as the cone of all possible weights of mod $ p …
$, we define the zip cone of $(G,\mu) $ as the cone of all possible weights of mod $ p …
The stack of -zips is a Mori dream space
JS Koskivirta - arXiv preprint arXiv:2402.09852, 2024 - arxiv.org
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 …
existence of $\mu $-ordinary Hasse invariants for Hodge-type Shimura varieties to other …
A vanishing theorem for vector-valued Siegel automorphic forms in characteristic
JS Koskivirta - arXiv preprint arXiv:2308.06870, 2023 - arxiv.org
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 …
zero when the weight is outside of an explicit locus. This result is a special case of a general …
Griffiths-Schmid conditions for automorphic forms via characteristic
W Goldring, JS Koskivirta - arXiv preprint arXiv:2211.16819, 2022 - arxiv.org
We establish vanishing results for spaces of automorphic forms in characteristic $0 $ and
characteristic $ p $. We prove that for Hodge-type Shimura varieties, the weight of any …
characteristic $ p $. We prove that for Hodge-type Shimura varieties, the weight of any …
Divisibility of mod automorphic forms and the cone conjecture for certain Shimura varieties of Hodge-type
W Goldring, JS Koskivirta - arXiv preprint arXiv:2211.16817, 2022 - arxiv.org
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 …
that the cone of weights of automorphic forms is encoded by the stack of $ G $-zips of Pink …
[PDF][PDF] The cone conjecture for Hilbert–Blumenthal Shimura varieties via intersection cones
JS Koskivirta - rimath.saitama-u.ac.jp
We give a simpler and more general proof that the weight of a mod p Hilbert modular form is
spanned by the weights of partial Hasse invariants. We also cover the case of Ekedahl–Oort …
spanned by the weights of partial Hasse invariants. We also cover the case of Ekedahl–Oort …