Geography of log models via asymptotic base loci

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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 languageEnglish
Article number1450089
JournalInternational Journal of Mathematics
Issue number9
Publication statusPublished - 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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