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Open AccessJournal ArticleDOI

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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Deformations of Singularities

TL;DR: A singularity of dimension higher than 2 is called a higher-dimensional singularity as discussed by the authors, and singularities of dimension n ≥ 2 are known as higher-order singularities.
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Semi-log canonical vs F-pure singularities

TL;DR: In this article, it was shown that the surjectivity of a map ϕ ¯ implies the satisfaction of tameness conditions for the normalization map of ϕ. While this doesnʼt occur generally, it always happens if certain conditions are satisfied for the tameness map.
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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