Potentially crystalline lifts of certain prescribed types

Toby Gee, Florian Herzig, Tong Liu, David Savitt

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We prove several results concerning the existence of potentially crystalline lifts of prescribed Hodge-Tate weights and inertial types of a given representation r: GK → GLn(Fp), where K/Qp is a finite extension. Some of these results are proved by purely local methods, and are expected to be useful in the application of automorphy lifting theorems. The proofs of the other results are global, making use of automorphy lifting theorems.

Original languageEnglish (US)
Pages (from-to)397-422
Number of pages26
JournalDocumenta Mathematica
Issue number2017
StatePublished - 2017
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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