3 citations · 3 across the 2 of their papers we have counts for
7 papers
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…