Generalized Tsen theorem and rationally connected Fano fibrations
Algebraic Geometry
2015-06-26 v2
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.
Keywords
Cite
@article{arxiv.math/0110017,
title = {Generalized Tsen theorem and rationally connected Fano fibrations},
author = {Frederic Campana and Thomas Peternell and Aleksandr Pukhlikov},
journal= {arXiv preprint arXiv:math/0110017},
year = {2015}
}
Comments
LaTeX2e, 28 pages, modified proof of 4.2