The cone of minimal weights for mod p Hilbert modular forms

TY - JOUR

T1 - The cone of minimal weights for mod p Hilbert modular forms

AU - Diamond, Fred

AU - L Kassaei, Payman

PY - 2022/7/14

Y1 - 2022/7/14

N2 - 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.

AB - 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.

M3 - Article

SN - 1073-7928

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

ER -