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Generalized Tsen theorem and rationally connected Fano fibrations
We prove that a fibration X \to \Bbb P_1, the general fiber of which is a
smooth Fano threefold, is rationally connected. The proof is based on a
generalization of Tsen's classical theorem: a fibration X/C over a curve the
general fiber of which is a Fano complete intersection in a product of weighted
projective spaces has a section.Comment: LaTeX2e, 28 pages, modified proof of 4.
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