40 citations · 106 across the 12 of their papers we have counts for
12 papers · 1 filter
Compactifications of Iwahori-level Hilbert modular varieties
Fred Diamond
We study minimal and toroidal compactifications of -integral models of Hilbert modular varieties. We review the theory in the setting of Iwahori level at primes over , and ex…
Kodaira-Spencer isomorphisms and degeneracy maps on Iwahori-level Hilbert modular varieties: the saving trace
Fred Diamond
We consider integral models of Hilbert modular varieties with Iwahori level structure at primes over p, first proving a Kodaira-Spencer isomorphism that gives a concise description…
Geometric weight-shifting operators on Hilbert modular forms in characteristic p
Fred Diamond
We carry out a thorough study of weight-shifting operators on Hilbert modular forms in characteristic , generalizing the author's prior work with Sasaki to the case where is…
The cone of minimal weights for mod Hilbert modular forms
Fred Diamond, Payman L Kassaei
We prove that all mod Hilbert modular forms arise via multiplication by generalized partial Hasse invariants from forms whose weight falls within a certain minimal cone. This a…
A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties: Splicing and dicing
Fred Diamond, Payman Kassaei, Shu Sasaki
We consider Hilbert modular varieties in characteristic p with Iwahori level at p and construct a geometric Jacquet-Langlands relation showing that the irreducible components are i…
A Serre weight conjecture for geometric Hilbert modular forms in characteristic p
Fred Diamond, Shu Sasaki
Let p be a prime and F a totally real field in which p is unramified. We consider mod p Hilbert modular forms for F, defined as sections of automorphic line bundles on Hilbert modu…
Minimal weights of Hilbert modular forms in characteristic p
Fred Diamond, Payman Kassaei
We consider mod p Hilbert modular forms associated to a totally real field of degree d in which p is unramified. We prove that every such form arises by multiplication by partial H…
Serre weights and wild ramification in two-dimensional Galois representations
Lassina Dembele, Fred Diamond, David P. Roberts
A generalization of Serre's Conjecture asserts that if is a totally real field, then certain characteristic representations of Galois groups over arise from Hilbert mod…
Crystalline lifts of two-dimensional mod automorphic Galois representations
Fred Diamond, Davide A. Reduzzi
We show that a sufficient condition for an irreducible automorphic Galois representation of a totally real field to have an autom…
Serre weights for locally reducible two-dimensional Galois representations
Fred Diamond, David Savitt
Let F be a totally real field, and v a place of F dividing an odd prime p. We study the weight part of Serre's conjecture for continuous, totally odd, two-dimensional mod p represe…
Formes modulaires de Hilbert modulo p et valeurs d'extensions galoisiennes
Christophe Breuil, Fred Diamond
Let F be a totally real field, v an unramified place of F dividing p and rho a continuous irreducible two-dimensional mod p representation of G_F such that the restriction of rho t…
Extensions of rank one (phi, Gamma)-modules and crystalline representations
Seunghwan Chang, Fred Diamond
Let K be a finite unramified extension of Q_p. We parametrize the (phi, Gamma)-modules corresponding to reducible two-dimensional mod p representations of G_K and characterize thos…