Factorization of anticanonical maps of Fano Type Variety

Sung Rak Choi, Dongseon Hwang, Jinhyung Park

Research output: Contribution to journalArticle

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 Variety using the singularities of anticanonical models. Secondly, we study the decomposition of the anticanonical map using the KX-minimal model program.

Original languageEnglish
Pages (from-to)10118-10142
Number of pages25
JournalInternational Mathematics Research Notices
Volume2015
Issue number20
DOIs
Publication statusPublished - 2015 Jan 1

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Factorization
Rational Surface
Minimal Model
Singularity
Decompose
Generalise
Model

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Choi, Sung Rak ; Hwang, Dongseon ; Park, Jinhyung. / Factorization of anticanonical maps of Fano Type Variety. In: International Mathematics Research Notices. 2015 ; Vol. 2015, No. 20. pp. 10118-10142.
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Factorization of anticanonical maps of Fano Type Variety. / Choi, Sung Rak; Hwang, Dongseon; Park, Jinhyung.

In: International Mathematics Research Notices, Vol. 2015, No. 20, 01.01.2015, p. 10118-10142.

Research output: Contribution to journalArticle

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