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On inversion of adjunction
Osamu Fujino,Kenta Hashizume +1 more
TLDR
In this article, the relationship between the inversion of adjunction and Hacon's inversion for log canonical centers of arbitrary codimension was clarified, and the relation between the two was established.Abstract:
We first announce our recent result on adjunction and inversion of adjunction. Then we clarify the relationship between our inversion of adjunction and Hacon's inversion of adjunction for log canonical centers of arbitrary codimension.read more
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On quasi-log schemes
TL;DR: In this paper, the authors established the basepoint-free theorem of Reid-Fukuda type for quasi-log schemes in full generality, which means that all the results for quasilog schemes claimed in Ambro's paper hold true.
References
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Journal ArticleDOI
Existence of minimal models for varieties of log general type
TL;DR: In this paper, it was shown that pl-flips exist in dimension n − 1, assuming finite generation in dimension N − 1 and assuming that pl flips exist in all dimensions.
Journal ArticleDOI
Fundamental Theorems for the Log Minimal Model Program
TL;DR: In this article, the authors proved the cone theorem and the contraction theorem for pairs (X;B), where X is a normal variety and B is an effective R-Divisor on X such that KX + B is R-Cartier.
Journal ArticleDOI
Existence of log canonical flips and a special LMMP
TL;DR: In this article, it was shown that any LMMP/Z on K ≥ 0 with scaling of an ample/Z divisor terminates with a good log minimal model or a Mori fibre space.
Journal ArticleDOI
Semi-stable minimal model program for varieties with trivial canonical divisor
TL;DR: In this article, a sufficient condition for the termination of flips is given, and a semi-stable minimal model program for varieties with (numerically) trivial canonical divisor is discussed.
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