English

Toric Fano varieties with divisorial contractions to curves

Algebraic Geometry 2007-05-23 v1

Abstract

In this paper, we obtain a complete classification of smooth toric Fano varieties equipped with extremal contractions which contract divisors to curves for any dimension. As an application, we obtain a complete classification of smooth projective toric varieties which can be equivariantly blown-up to Fano along curves.

Keywords

Cite

@article{arxiv.math/0205298,
  title  = {Toric Fano varieties with divisorial contractions to curves},
  author = {Hiroshi Sato},
  journal= {arXiv preprint arXiv:math/0205298},
  year   = {2007}
}

Comments

14 pages, Latex2e