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 language | English (US) |
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Pages (from-to) | 15-25 |
Number of pages | 11 |
Journal | Duke Mathematical Journal |
Volume | 107 |
Issue number | 1 |
DOIs | |
State | Published - 2001 |
All Science Journal Classification (ASJC) codes
- General Mathematics