The Abel-Jacobi isomorphism for the cubic fivefold
The Abel-Jacobi isomorphism for the cubic fivefold
Let X be a general cubic fivefold, JX the associated intermediate Jacobian, F the Fano surface of the planes contained in X.We prove that the Abel-Jacobi map induces an isomorphism from the Albanese variety of F to JX. Introduction.It is a standard fact (see [7] Exp.XI (2.9)) that the only …