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arXiv · 1405.7773

Factorization of anticanonical maps of Fano type varieties

Sung Rak Choi·DongSeon Hwang·Jinhyung Park
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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.

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Sung Rak Choi, DongSeon Hwang, Jinhyung Park. 2014-05-30. Factorization of anticanonical maps of Fano type varieties. https://arxiv.org/abs/1405.7773

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