Serre weights for mod p Hilbert modular forms

The totally ramified case

Toby Gee, David L Savitt

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal(F̄/F), where F is a totally real field which is totally ramified at p, and the representation is tamely ramified at the prime above p. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.

Original languageEnglish (US)
Pages (from-to)1-26
Number of pages26
JournalJournal fur die Reine und Angewandte Mathematik
Issue number660
DOIs
StatePublished - Nov 2011

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Hilbert Modular Forms
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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Serre weights for mod p Hilbert modular forms : The totally ramified case. / Gee, Toby; Savitt, David L.

In: Journal fur die Reine und Angewandte Mathematik, No. 660, 11.2011, p. 1-26.

Research output: Contribution to journalArticle

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