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math.NT2026
Elliptic curves attached to Jacobians with imaginary multiplication
Francesc Fité, Francesc Pedret
Let M be an imaginary quadratic field and A be an abelian variety of odd dimension g defined over Q for which there is a unitary algebra embedding of M in End^0(A_M) of signature (…
math.NT2025
Determining monogenity of pure cubic number fields using elliptic curves
Jordi Guàrdia, Francesc Pedret
We study monogenity of pure cubic number fields by means of Selmer groups of certain elliptic curves. A cubic number field with discriminant determines a unique nontrivial $\ma…