English

On the unirationality of 3-fold conic bundles

Algebraic Geometry 2014-03-28 v1

Abstract

A variety is unirational if it is dominated by a rational variety. A variety is rationally connected if two general points can be joined by a rational curve. This paper aims to show that the two notions can cooperate and, building on Graber-Harris-Starr celebrated result, it presents a unirationality statement for 3-fold conic bundles with "bounded" discriminant.

Keywords

Cite

@article{arxiv.1403.7055,
  title  = {On the unirationality of 3-fold conic bundles},
  author = {Massimiliano Mella},
  journal= {arXiv preprint arXiv:1403.7055},
  year   = {2014}
}