The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Automorphy for some l -adic lifts of automorphic mod l Galois representations. II
Abstract
We extend the results of [CHT] by removing the ‘minimal ramification' condition on the lifts. That is we establish the automorphy of suitable conjugate self-dual, regular (de Rham with distinct Hodge-Tate numbers), l-adic lifts of certain automorphic mod l Galois representations of any dimension. The main innovation is a new approach to the automorphy of non-minimal lifts which is closer in spirit to the methods of [TW] than to those of [W], which relied on Ihara's lemma.
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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
Groupes réductifs sur un corps local : I. Données radicielles valuées
Bruhat, F., & Tits, J. (1972) · Publications mathématiques de l IHÉS · doi:10.1007/bf02715544 · Cited by 1,030
Ring-Theoretic Properties of Certain Hecke Algebras
Taylor, R., & Wiles, A. (1995) · The Annals of Mathematics · doi:10.2307/2118560 · Cited by 1,016
Self-citationAbelian l-Adic Representations and Elliptic Curves
Serre, J.-P. (1997) · A K Peters/CRC Press eBooks · doi:10.1201/9781439863862 · Cited by 859
The Geometry and Cohomology of Some Simple Shimura Varieties.Preprint
Harris, M., Taylor, R., & Berkovich, V. G. (2001) · Cited by 705
Self-citationA Family of Calabi–Yau Varieties and Potential Automorphy II
Barnet-Lamb, T., Geraghty, D., Harris, M., & Taylor, R. (2011) · Publications of the Research Institute for Mathematical Sciences · doi:10.2977/prims/31 · Cited by 389
Self-citationDarmon, H., Diamond, F., & Taylor, R. (1995) · Current Developments in Mathematics · doi:10.4310/cdm.1995.v1995.n1.a1 · Cited by 247
Self-citationModuli of finite flat group schemes, and modularity
Kisin, M. (2009) · Annals of Mathematics · doi:10.4007/annals.2009.170.1085 · Cited by 245
Nori, M. V. (1987) · Inventiones mathematicae · doi:10.1007/bf01388909 · Cited by 211
An Introduction to the Deformation Theory of Galois Representations
Mazur, B. (1997) · Springer eBooks · doi:10.1007/978-1-4612-1974-3_8 · Cited by 149
Metadata
- Authors
- Taylor, R.
- Venue
- Publications Mathématiques de l'IHÉS
- Publisher
- MathDoc/Centre Mersenne
- Published
- 2008-11-07
- Volume
- 108
- Pages
- 183-239
- ISSN
- 0073-8301 (ISSN-L)
- 1618-1913
- OpenAlex
- W2161444209
- Cited by
- 316
- References
- 17
- FWCI
- 25.05
- Type
- journal article
- Language
- en
- Open access
- closed
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- Taylor, R. (2008). Automorphy for some l -adic lifts of automorphic mod l Galois representations. II. Publications Mathématiques de l'IHÉS. https://doi.org/10.1007/s10240-008-0015-2
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