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Modularity of certain potentially Barsotti-Tate Galois representations
Brian Conrad, Fred Diamond, Richard Taylor
Source record
Source: Crossref
Published: Jan 1, 1999
DOI: 10.1090/s0894-0347-99-00287-8
Open original source ↗Source abstract
We show that certain potentially semistable lifts of modular mod l l representations are themselves modular. As a result we show that any elliptic curve over the rational numbers with conductor not divisible by 27 is modular.
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