Factorization of anticanonical maps of Fano type varieties

Sung Rak Choi; DongSeon Hwang; Jinhyung Park

Factorization of anticanonical maps of Fano type varieties

Algebraic Geometry 2014-12-30 v2

Authors: Sung Rak Choi , DongSeon Hwang , Jinhyung Park

Abstract

The purpose of the present paper is to generalize Sakai's work on anticanonical models of rational surfaces to varieties of Fano type. We first prove a characterization of Fano type varieties using the singularities of anticanonical models. Secondly, we study the decomposition of the anticanonical map using the $K_X$ -minimal model program.

Keywords

Fano type varieties anticanonical maps anticanonical models minimal model program singularities rational surfaces

Cite

@article{arxiv.1405.7773,
  title  = {Factorization of anticanonical maps of Fano type varieties},
  author = {Sung Rak Choi and DongSeon Hwang and Jinhyung Park},
  journal= {arXiv preprint arXiv:1405.7773},
  year   = {2014}
}

Comments

19 pages. We have corrected typos and mistakes. This will appear in IMRN

Factorization of anticanonical maps of Fano type varieties

Abstract

Keywords

Cite

Comments

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