Automorphic vector bundles on the stack of G-zips

N Imai, JS Koskivirta - Forum of Mathematics, Sigma, 2021 - cambridge.org
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 …

-zips with additional structure on splitting models of Shimura varieties

X Shen, Y Zheng - arXiv preprint arXiv:2212.13763, 2022 - arxiv.org
We construct universal $ G $-zips on good reductions of the Pappas-Rapoport splitting
models for PEL-type Shimura varieties. We study the induced Ekedahl-Oort stratification …

Hasse invariants on Shimura varieties and moduli of G-bundles

S Reppen - 2024 - diva-portal.org
This thesis consists of four papers, referred to in the text as Paper I, II, III and IV, respectively.
In Paper I and II, we study the classical Hasse invariant on the geometric special fiber of …

[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 …

[PDF][PDF] Vector bundles on the stack of -zips and partial Hasse invariants (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties)

JS Koskivirta - 数理解析研究所講究録別冊, 2022 - repository.kulib.kyoto-u.ac.jp
The stack of G-zips is an object in the realm of group-theory, which was introduced by
Moonen–Wedhorn ([15]) and more thoroughly studied by Pink–Wedhorn–Ziegler in [16, 17] …

[PDF][PDF] Vector bundles on the stack of G-zips and partial Hasse invariants

JS Koskivirta - rimath.saitama-u.ac.jp
The stack of G-zips is an object in the realm of group-theory, which was introduced by
Moonen–Wedhorn ([15]) and more thoroughly studied by Pink–Wedhorn–Ziegler in [16, 17] …