Factorization of anticanonical maps of Fano Type Variety

Sung Rak Choi; Dongseon Hwang; Jinhyung Park

doi:10.1093/imrn/rnu274

Factorization of anticanonical maps of Fano Type Variety

Sung Rak Choi, Dongseon Hwang, Jinhyung Park

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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

Original language	English
Pages (from-to)	10118-10142
Number of pages	25
Journal	International Mathematics Research Notices
Volume	2015
Issue number	20
DOIs	https://doi.org/10.1093/imrn/rnu274
Publication status	Published - 2015

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© The Author(s) 2015. Published by Oxford University Press. All rights reserved.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1093/imrn/rnu274

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title = "Factorization of anticanonical maps of Fano Type Variety",

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.",

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AU - Choi, Sung Rak

AU - Hwang, Dongseon

AU - Park, Jinhyung

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N2 - 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.

AB - 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.

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DO - 10.1093/imrn/rnu274

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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Factorization of anticanonical maps of Fano Type Variety

Abstract

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