Modularity of Certain Potentially Barsotti-Tate Galois Representations
| Title: | Modularity of Certain Potentially Barsotti-Tate Galois Representations |
| Author: |
Conrad, Brian; Diamond, Fred; Taylor, Richard L.
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Conrad, Brian, Fred Diamond, and Richard L. Taylor. 1999. Modularity of certain potentially Barsotti-Tate Galois representations. Journal of the American Mathematical Society 12: 521-567. |
| Full Text & Related Files: |
Taylor_ModularityCertain.pdf (571.5Kb; PDF) 
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| Abstract: | We show that certain potentially semistable lifts of modular modrepresentations are themselves modular. As a result we show that any elliptic curve over the rational numbers with conductor not divisible by 27 is modular. |
| Published Version: | doi:10.1090/S0894-0347-99-00287-8 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:3579185 |
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Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
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