Year: 2020
Type: article
Abstract: We prove that a $3$-dimensional selfdual Galois representation constructed by van Geemen and Top is isomorphic to a quadratic twist of the symmetric square of the Tate module of an elliptic curve. This is an application of our refinement of the Faltings-Serre method to $3$-dimensional $\ell$-adic selfdual representations with the ground field not equal to $\mathbf {Q}$. The proof makes use of the Faltings-Serre method and Burnside groups.
Source: Mathematics of Computation
DOI: 10.1090/mcom/3591
Author: Lian Duan
Institution: Colorado State University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2968315987
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