Congruences betwen Hilbert modular forms: constructing ordinary lifts II

2012/05/21 by Thomas Barnet-Lamb, Barnet-Lamb, Thomas, Toby Gee +3
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1205.4491

Abstract

In this note we improve on the results of our earlier paper[BLGG12], proving a near-optimal theorem on the existence of ordinary lifts of a mod l Hilbert modular form for any odd prime l.

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