Elliptic curves attached to Jacobians with imaginary multiplication
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 ((g+1)/2,(g-1)/2). Extending a result by Fit\'e and Goodman, we show the existence of an elliptic curve E over Q with complex multiplication...