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math.NT2022
Griffiths-Schmid conditions for automorphic forms via characteristic
Wushi Goldring, Jean-Stefan Koskivirta
We establish vanishing results for spaces of automorphic forms in characteristic and characteristic . We prove that for Hodge-type Shimura varieties, the weight of any nonze…
math.NT2022
Divisibility of mod automorphic forms and the cone conjecture for certain Shimura varieties of Hodge-type
Wushi Goldring, Jean-Stefan Koskivirta
For several Hodge-type Shimura varieties of good reduction in characteristic , we show that the cone of weights of automorphic forms is encoded by the stack of -zips of Pink-…
math.NT2022★ 1 cited
Weights of mod automorphic forms and partial Hasse invariants
Wushi Goldring, Naoki Imai, Jean-Stefan Koskivirta
For a connected, reductive group over a finite field endowed with a cocharacter , we define the zip cone of as the cone of all possible weights of mod automorphi…