For p=2, the support of patched modules meets every irreducible component of the potentially semi-stable deformation ring, yielding the Breuil-Mezard conjecture in the case where the residual representation is a twist of an extension of 1 by 1.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the modularity of 2-adic potentially semi-stable deformation rings
For p=2, the support of patched modules meets every irreducible component of the potentially semi-stable deformation ring, yielding the Breuil-Mezard conjecture in the case where the residual representation is a twist of an extension of 1 by 1.