Abelian Surfaces of Gl2-type as Jacobians of Curves
نویسنده
چکیده
We study the set of isomorphism classes of principal polarizations on abelian varieties of GL2-type. As applications of our results, we construct examples of curves C, C ′/Q of genus two which are nonisomorphic over Q̄ and share isomorphic unpolarized modular Jacobian varieties over Q; we also show a method to obtain genus two curves over Q whose Jacobian varieties are isomorphic to Weil’s restriction of quadratic Q-curves, and present examples.
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