Nonrational Covers of $CP^m\times CP^n$

János Kollár

Nonrational Covers of $CP^m\times CP^n$

alg-geom 2008-02-03 v1 Algebraic Geometry

Authors: János Kollár

Abstract

The aim of the paper is to construct examples of cyclic covers of $CP^m\times CP^n$ which are rationally connected but are not rational. The crucial point turns out to be the study of Del Pezzo surfaces over function fields in positive characteristic.

Keywords

cyclic cover rational connectedness Del Pezzo surface positive characteristic function field

Cite

@article{arxiv.alg-geom/9606005,
  title  = {Nonrational Covers of $CP^m\times CP^n$},
  author = {János Kollár},
  journal= {arXiv preprint arXiv:alg-geom/9606005},
  year   = {2008}
}

Comments

AMSTeX 2.1

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