polyquadratic en · ADJ
Etymology
From poly- + quadratic.
Meanings
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(not-comparable) Involving multiple quadratic equations or functions
If E does not have complex multiplication (CM), by results of Ribet and Elkies concerning fields of definition of elliptic #92;mathbb#123;Q#125;-curves E is isogenous to a curve defined over a polyquadratic extension of #92;mathbb#123;Q#125;.
2015, Francesc Fité, Xavier Guitart, “Fields of definition of elliptic k-curves and the realizability of all genus 2 Sato--Tate groups over a number field”, in arXiv: