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Geography of log models via asymptotic base loci

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Title
Geography of log models via asymptotic base loci
Author(s)
Choi Sung Rak
Publication Date
2014-08
Journal
INTERNATIONAL JOURNAL OF MATHEMATICS, v.25, no.9, pp.1450089-1 - 1450089-14
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
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.
URI
https://pr.ibs.re.kr/handle/8788114/1477
ISSN
0129-167X
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
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