Extracting non-canonical places

Joaquín Moraga

doi:10.1016/j.aim.2020.107415

Extracting non-canonical places

Joaquín Moraga

Mathematics

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

5 Scopus citations

Abstract

Let (X,B) be a log canonical pair and V be a finite set of divisorial valuations with log discrepancy in [0,1). We prove that there exists a projective birational morphism π:Y→X so that the exceptional locus is divisorial, the exceptional divisors are Q-Cartier, and they correspond to elements of V. We study how two such models are related. As applications, we apply the main theorem to the study of deformations of log canonical singularities. Furthermore, we prove the existence of rationalization for log canonical singularities.

Original language	English (US)
Article number	107415
Journal	Advances in Mathematics
Volume	375
DOIs	https://doi.org/10.1016/j.aim.2020.107415
State	Published - Dec 2 2020

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Minimal model program
lc places
lc singularities

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10.1016/j.aim.2020.107415

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title = "Extracting non-canonical places",

abstract = "Let (X,B) be a log canonical pair and V be a finite set of divisorial valuations with log discrepancy in [0,1). We prove that there exists a projective birational morphism π:Y→X so that the exceptional locus is divisorial, the exceptional divisors are Q-Cartier, and they correspond to elements of V. We study how two such models are related. As applications, we apply the main theorem to the study of deformations of log canonical singularities. Furthermore, we prove the existence of rationalization for log canonical singularities.",

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N2 - Let (X,B) be a log canonical pair and V be a finite set of divisorial valuations with log discrepancy in [0,1). We prove that there exists a projective birational morphism π:Y→X so that the exceptional locus is divisorial, the exceptional divisors are Q-Cartier, and they correspond to elements of V. We study how two such models are related. As applications, we apply the main theorem to the study of deformations of log canonical singularities. Furthermore, we prove the existence of rationalization for log canonical singularities.

AB - Let (X,B) be a log canonical pair and V be a finite set of divisorial valuations with log discrepancy in [0,1). We prove that there exists a projective birational morphism π:Y→X so that the exceptional locus is divisorial, the exceptional divisors are Q-Cartier, and they correspond to elements of V. We study how two such models are related. As applications, we apply the main theorem to the study of deformations of log canonical singularities. Furthermore, we prove the existence of rationalization for log canonical singularities.

KW - Minimal model program

KW - lc places

KW - lc singularities

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VL - 375

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 107415

ER -

Extracting non-canonical places

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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