Log-canonical models of singular pairs and its applications

Yuji Odaka; Chenyang Xu

doi:10.4310/MRL.2012.v19.n2.a5

Log-canonical models of singular pairs and its applications

Yuji Odaka, Chenyang Xu

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

27 Scopus citations

Abstract

We prove the existence of the log-canonical model over a log pair (X, δ). As an application, together with Kollár's gluing theory, we remove the assumption in the first named author's work [Odaka11], which shows that K-semistable polarized varieties can only have semi-log-canonical singularities.

Original language	English (US)
Pages (from-to)	325-334
Number of pages	10
Journal	Mathematical Research Letters
Volume	19
Issue number	2
DOIs	https://doi.org/10.4310/MRL.2012.v19.n2.a5
State	Published - 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/MRL.2012.v19.n2.a5

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title = "Log-canonical models of singular pairs and its applications",

abstract = "We prove the existence of the log-canonical model over a log pair (X, δ). As an application, together with Koll{\'a}r's gluing theory, we remove the assumption in the first named author's work [Odaka11], which shows that K-semistable polarized varieties can only have semi-log-canonical singularities.",

author = "Yuji Odaka and Chenyang Xu",

year = "2012",

doi = "10.4310/MRL.2012.v19.n2.a5",

language = "English (US)",

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journal = "Mathematical Research Letters",

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AU - Odaka, Yuji

AU - Xu, Chenyang

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AB - We prove the existence of the log-canonical model over a log pair (X, δ). As an application, together with Kollár's gluing theory, we remove the assumption in the first named author's work [Odaka11], which shows that K-semistable polarized varieties can only have semi-log-canonical singularities.

UR - https://www.scopus.com/pages/publications/84866686318

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U2 - 10.4310/MRL.2012.v19.n2.a5

DO - 10.4310/MRL.2012.v19.n2.a5

M3 - Article

AN - SCOPUS:84866686318

SN - 1073-2780

VL - 19

SP - 325

EP - 334

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 2

ER -

Log-canonical models of singular pairs and its applications

Abstract

All Science Journal Classification (ASJC) codes

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