Abel-jacobi Maps Associated to Smooth Cubic Threefolds
نویسندگان
چکیده
In this article we consider the spaces H(X) parametrizing curves of degree d and genus g on a smooth cubic threefold X ⊂ P, with regard in particular to the Abel-Jacobi map ud : H(X) → J(X) to the intermediate Jacobian J(X) of X . Our principle result is that for all d ≤ 5 the map ud coincides with the maximal rationally connected fibration of H(X).
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