STNB2026 (39th edition)

Elliptic curves attached to abelian threefolds with imaginary multiplication

Presenters

Pip Goodman

Abstract

Let A be an abelian threefold defined over a number field K with geometric endomorphism algebra an imaginary quadratic field M. In this talk, I will prove the existence of an elliptic curve E/K with CM by M whose associated Galois representations are determined by those of A. This is joint work with Francesc Fité.

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