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- W4212885700 abstract "This paper is the first part of a work which proves Serre’s modularity conjecture. We first prove the cases $pnot=2$ and odd conductor, and p=2 and weight 2, see Theorem 1.2, modulo Theorems 4.1 and 5.1. Theorems 4.1 and 5.1 are proven in the second part, see Khare and Wintenberger (Invent. Math., doi: 10.1007/s00222-009-0206-6 , 2009). We then reduce the general case to a modularity statement for 2-adic lifts of modular mod 2 representations. This statement is now a theorem of Kisin (Invent. Math., doi: 10.1007/s00222-009-0207-5 , 2009)." @default.
- W4212885700 created "2022-02-24" @default.
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- W4212885700 date "2009-07-04" @default.
- W4212885700 modified "2023-09-27" @default.
- W4212885700 title "Serre’s modularity conjecture (I)" @default.
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- W4212885700 doi "https://doi.org/10.1007/s00222-009-0205-7" @default.
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