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math.NT2022★ 1 cited
Endomorphism algebras of geometrically split genus 2 Jacobians over Q
Francesc Fité, Enric Florit, Xavier Guitart
The main result of [FG20] classifies the 92 geometric endomorphism algebras of geometrically split abelian surfaces defined over Q. We show that 54 of them arise as geometric endom…
math.NT2022
Polarized products of elliptic curves with complex multiplication and field of moduli
Fabien Narbonne
Let be the maximal order in a quadratic imaginary field . We give an equivalence of categories between the category of polarized abelian varieties isomorphic to a product of…