Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897231 | Journal of Number Theory | 2017 | 21 Pages |
Abstract
We determine the possible Serre weights associated to certain Hilbert modular forms when the rational prime p is totally ramified in the totally real field F. Our weight lowering method for arbitrarily large weight is applicable when the slope is sufficiently small, enabling us to compute the mod p reduction at inertia from the known results in the small weight range. In the case of elliptic modular forms (and for certain Hilbert modular forms in the p totally split case) we obtain a unique mod p reduction when the slope is in (0,1/2).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Abhik Ganguli,