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Inversion of adjunction on log canonicity

Masayuki Kawakita
- 24 Aug 2006 - 
- Vol. 167, Iss: 1, pp 129-133
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TLDR
In this paper, the authors prove inversion of adjunction on log canonicity, and prove that adjunction is invertible on log canonicity, but not on log-canonicity.
Abstract
We prove inversion of adjunction on log canonicity.

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Posted Content

Existence of minimal models for varieties of log general type

TL;DR: In this article, 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.
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Jet schemes and singularities

TL;DR: In this paper, the authors give a self-contained presentation of the basic results on jet schemes of singular varieties, and prove a more general result for arbitrary Q-Gorenstein varieties embeded in nonsingular varieties.
BookDOI

Flips for 3-folds and 4-folds

Alessio Corti
TL;DR: In this article, the existence of flips on weak del Pezzo klt surfaces has been investigated, and a special termination and reduction to pl flips has been proposed, which is called special termination-and reduction-to-pl flips.
Journal ArticleDOI

Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces

TL;DR: In this article, a functorial normal crossing compactification of the moduli space of smooth cubic surfaces was proposed, analogous to the Grothendieck-Knudsen compactification.
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Simple finite subgroups of the Cremona group of rank 3

TL;DR: In this paper, the authors classify all finite simple subgroups of the Cremona group Cr3(C) and show that all of them can be classified into three classes.
References
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Book

Birational Geometry of Algebraic Varieties

TL;DR: In this paper, the authors introduce the minimal model program and the canonical class of rational curves, and present the singularities of the model program, as well as three dimensional flops.
Journal Article

Flips and Abundance for Algebraic Threefolds

János Kollár
- 01 Jan 1992 - 
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