Base change and a problem of Serre

C. M. Skinner, A. J. Wiles

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We establish a version of "level-lowering" for mod p Galois representations arising from the reductions of representations associated to Hubert modular forms. In particular, we show that level-lowering can be easily achieved if one replaces the base field with a suitable solvable extension. This is often enough for applications to proving the modularity of p-adic representations.

Original languageEnglish (US)
Pages (from-to)15-25
Number of pages11
JournalDuke Mathematical Journal
Volume107
Issue number1
DOIs
StatePublished - 2001

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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