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pro vyhledávání: '"Koskivirta P"'
Autor:
Koskivirta, Jean-Stefan
We prove that the effective cone of automorphic vector bundles on the Siegel modular variety of rank $n$ in characteristic $p$ at a place of good reduction is encoded by the stack of $G$-zips of Pink--Wedhorn--Ziegler. Specifically, we show that the
Externí odkaz:
http://arxiv.org/abs/2403.16093
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
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
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 conje
Externí odkaz:
http://arxiv.org/abs/2211.16817
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 nonzero automorphic form in characteristic $0$ satisfies the Griffiths-Schm
Externí odkaz:
http://arxiv.org/abs/2211.16819
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 $p$ automorphic forms on the stack of $G$-zips. This cone is conjectured to coin
Externí odkaz:
http://arxiv.org/abs/2211.16207
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
Publikováno v:
International Journal of Qualitative Methods, Vol 23 (2024)
Social scientific research has become increasingly aware of power asymmetries and the elitist and exclusive nature of scientific knowledge production. These debates have resulted in more inclusive and participatory research practices. In this article
Externí odkaz:
https://doaj.org/article/f7a154ca8acf41af86a6063fdd63bb43
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
Autor:
Koskivirta, Jean-Stefan
Improved version. To appear in Results in Mathematics.
Comment: 30 pages, 1 figure
Comment: 30 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1810.05255