Geography of log models via asymptotic base loci

Sung Rak Choi

doi:10.1142/S0129167X1450089X

Geography of log models via asymptotic base loci

Sung Rak Choi

Department of Mathematics

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

Abstract

The geography of log models refers to the decomposition of the set of effective adjoint divisors into the polytopes defined by the resulting models obtained by the log minimal model program. We will describe the geography of log models in terms of the asymptotic base loci and Zariski decompositions of adjoint divisors. As an application, we prove some structure theorems on partially ample cones, thereby giving a partial answer to a question of B. Totaro.

Original language	English
Article number	1450089
Journal	International Journal of Mathematics
Volume	25
Issue number	9
DOIs	https://doi.org/10.1142/S0129167X1450089X
Publication status	Published - 2014 Aug 16

Bibliographical note

Funding Information:
I would like to thank the referee for reading the manuscript. This research was partially supported by the IBS (CA1305-02).

Publisher Copyright:
© 2014 World Scientific Publishing Company.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1142/S0129167X1450089X

Cite this

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N2 - The geography of log models refers to the decomposition of the set of effective adjoint divisors into the polytopes defined by the resulting models obtained by the log minimal model program. We will describe the geography of log models in terms of the asymptotic base loci and Zariski decompositions of adjoint divisors. As an application, we prove some structure theorems on partially ample cones, thereby giving a partial answer to a question of B. Totaro.

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Geography of log models via asymptotic base loci

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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