The Abel-jacobi Isomorphism on One Cycles on the Moduli Space of Vector Bundles with Trivial Determinant on a Curve
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چکیده
We consider the moduli space SUsC(2,OC) of rank 2 stable vector bundles with trivial determinant on a smooth projective curve C of genus g. We show that the Abel-Jacobi map on the rational Chow group CH1(SU s C(2,OC))hom ⊗ Q of one cycles which are homologous to zero, is an isomorphism onto the bottom weight intermediate Jacobian, which is identified with the Jacobian Jac(C)⊗ Q.
منابع مشابه
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تاریخ انتشار 2009