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math.NT2023
Cohomology vanishing for Ekedahl--Oort strata on Hilbert--Blumenthal Shimura varieties
Jean-Stefan Koskivirta
We prove vanishing results for the th cohomology of automorphic line bundles on the Ekedahl--Oort strata of the special fiber of Hilbert--Blumenthal Shimura varieties. This work…
math.NT2023
A vanishing theorem for vector-valued Siegel automorphic forms in characteristic
Jean-Stefan Koskivirta
We show that the space of vector-valued Siegel automorphic forms in characteristic is zero when the weight is outside of an explicit locus. This result is a special case of a g…