Generalized Tsen theorem and rationally connected Fano fibrations
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Generalized Tsen theorem and rationally connected Fano fibrations

  • Author(s): Campana, Frederic
  • Peternell, Thomas
  • Pukhlikov, Aleksandr
  • et al.

Published Web Location

https://arxiv.org/pdf/math/0110017.pdf
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Abstract

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.

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