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math.NT2018
Abelian Surfaces over totally real fields are Potentially Modular
George Boxer, Frank Calegari, Toby Gee +1
We show that abelian surfaces (and consequently curves of genus 2) over totally real fields are potentially modular. As a consequence, we obtain the expected meromorphic continuati…
math.NT2018★ 1 cited
Compatible systems of Galois representations associated to the exceptional group E6
George Boxer, Frank Calegari, Matthew Emerton +3
We construct, over any CM field, compatible systems of l-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all l) algebraic monodromy g…