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math.NT2020★ 3 cited
A -adic adjoint -function and the ramification locus of the Hilbert modular eigenvariety
Baskar Balasubramanyam, John Bergdall, Matteo Longo
Let be a totally real field and the middle-degree eigenvariety for Hilbert modular forms over , constructed by Bergdall--Hansen. We study the ramification locu…
math.NT2020★ 2 cited
Reductions of -dimensional semi-stable representations with large -invariant
John Bergdall, Brandon Levin, Tong Liu
We determine reductions of 2-dimensional, irreducible, semi-stable, and non-crystalline representations of with Hodge--Tate weigh…