On the log discrepancies in toric Mori contractions

Valery Alexeev; Alexander Borisov

doi:10.1090/S0002-9939-2014-12159-9

On the log discrepancies in toric Mori contractions

Valery Alexeev
, Alexander Borisov

Mathematics and Statistics

Binghamton University

University of Georgia

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

8 Scopus citations

Abstract

It was conjectured by M^cKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive ε there is a positive δ such that if X is ε-log terminal, then Y is δ-log terminal. We prove this conjecture in the toric case and discuss the dependence of δ on ε, which seems mysterious.

Original language	English
Pages (from-to)	3687-3694
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-2014-12159-9
State	Published - 2014

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10.1090/S0002-9939-2014-12159-9

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title = "On the log discrepancies in toric Mori contractions",

abstract = "It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive ε there is a positive δ such that if X is ε-log terminal, then Y is δ-log terminal. We prove this conjecture in the toric case and discuss the dependence of δ on ε, which seems mysterious.",

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T1 - On the log discrepancies in toric Mori contractions

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AU - Borisov, Alexander

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Y1 - 2014

N2 - It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive ε there is a positive δ such that if X is ε-log terminal, then Y is δ-log terminal. We prove this conjecture in the toric case and discuss the dependence of δ on ε, which seems mysterious.

AB - It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive ε there is a positive δ such that if X is ε-log terminal, then Y is δ-log terminal. We prove this conjecture in the toric case and discuss the dependence of δ on ε, which seems mysterious.

UR - https://www.scopus.com/pages/publications/84923016941

U2 - 10.1090/S0002-9939-2014-12159-9

DO - 10.1090/S0002-9939-2014-12159-9

M3 - Article

SN - 0002-9939

VL - 142

SP - 3687

EP - 3694

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

ER -

On the log discrepancies in toric Mori contractions

Abstract

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