Affiliation:
1. Dipartimento di Matematica Università di Roma Tor Vergata Roma Italia
2. Dipartimento di Matematica Università di Trento Povo Italia
Abstract
AbstractIn this paper, inspired by work of Fano, Morin, and Campana–Flenner, we give a projective classification of varieties of dimension 3 whose general hyperplane sections have negative Kodaira dimension, and we partly extend such a classification to varieties of dimension whose general surface sections have negative Kodaira dimension. In particular, we prove that a variety of dimension whose general surface sections have negative Kodaira dimension is birationally equivalent to the product of a general surface section times unless (possibly) if the variety is a cubic hypersurface.
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