The cone of minimal weights for mod p Hilbert modular forms

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Abstract

This answers a question posed by Andreatta and Goren, and generalizes our previous results which treated the case where p is unramified in the totally real field. Whereas our previous work made use of deep Jacquet-Langlands type results on the Goren-Oort stratification (not yet available when p is ramified), here we instead use properties of the stratification at Iwahori level which are more readily generalizable to other Shimura varieties.
Original languageEnglish
JournalInternational Mathematics Research Notices
Publication statusPublished - 14 Jul 2022

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