The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Moduli of finite flat group schemes, and modularity
Open accessAbstract
We prove that, under some mild conditions, a two dimensional p-adic Galois representation which is residually modular and potentially Barsotti-Tate at p is modular.This provides a more conceptual way of establishing the Shimura-Taniyama-Weil conjecture, especially for elliptic curves which acquire good reduction over a wildly ramified extension of ޑ 3 .The main ingredient is a new technique for analyzing flat deformation rings.It involves resolving them by spaces which parametrize finite flat group scheme models of Galois representations.
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Cites
Modular Elliptic Curves and Fermat's Last Theorem
Wiles, A. (1995) · The Annals of Mathematics · doi:10.2307/2118559 · Cited by 2,060
Quillen, D. (1973) · Lecture Notes in Mathematics · doi:10.1007/bfb0067053 · Cited by 1,971
Cited by
Automorphy for some l -adic lifts of automorphic mod l Galois representations. II
Taylor, R. (2008) · Publications Mathématiques de l'IHÉS · doi:10.1007/s10240-008-0015-2 · Cited by 316
Metadata
- Authors
- Kisin, M.
- Venue
- Annals of Mathematics
- Publisher
- Annals of Mathematics
- Published
- 2009-11-01
- Volume
- 170
- Issue
- 3
- Pages
- 1085-1180
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2070829846
- Cited by
- 245
- References
- 2
- FWCI
- 26.05
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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