Modularity of Certain Potentially Barsotti-Tate Galois Representations

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Modularity of Certain Potentially Barsotti-Tate Galois Representations

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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.
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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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  • FAS Scholarly Articles [6463]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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