Deformations of log terminal and semi log canonical singularities

K Sato, S Takagi - Forum of Mathematics, Sigma, 2023 - cambridge.org
In this paper, we prove that klt singularities are invariant under deformations if the generic
fiber is-Gorenstein. We also obtain a similar result for slc singularities. These are …

Addendum to 'On isolated log canonical singularities with index one'

O Fujino - J. Math. Sci. Univ. Tokyo, 2012 - repository.dl.itc.u-tokyo.ac.jp
We add a supplementary argument to the paper: O. Fujino, On isolated log canonical
singularities with index one. In this short note, we will freely use the notation in [F]. As …

On isolated log canonical singularities with index one

O Fujino - arXiv preprint arXiv:1107.0513, 2011 - arxiv.org
arXiv:1107.0513v6 [math.AG] 11 Nov 2011 Page 1 arXiv:1107.0513v6 [math.AG] 11 Nov 2011
ON ISOLATED LOG CANONICAL SINGULARITIES WITH INDEX ONE OSAMU FUJINO …

On the-purity of isolated log canonical singularities

O Fujino, S Takagi - Compositio Mathematica, 2013 - cambridge.org
A singularity in characteristic zero is said to be of dense F-pure type if its modulo p reduction
is locally Frobenius split for infinitely many p. We prove that if x∈ X is an isolated log …

Some remarks on the minimal model program for log canonical pairs

O Fujino - arXiv preprint arXiv:1309.3015, 2013 - arxiv.org
We prove that the target space of an extremal Fano contraction from a log canonical pair has
only log canonical singularities. We also treat some related topics, for example, the finite …

Log canonical singularities are Du Bois

J Kollár, S Kovács - Journal of the American Mathematical Society, 2010 - ams.org
A recurring difficulty in the Minimal Model Program is that while log terminal singularities are
quite well behaved (for instance, they are rational), log canonical singularities are much …

A numerical condition for a deformation of a Gorenstein surface singularity to admit a simultaneous log-canonical model

T Okuma - Proceedings of the American Mathematical Society, 2001 - ams.org
Let $\pi\colon X\to T $ be a deformation of a normal Gorenstein surface singularity over the
complex number field $\mathbb {C} $. We assume that $ T $ is a neighborhood of the origin …

Compactifications of log morphisms

E Grosse-Klönne - Tohoku Mathematical Journal, Second Series, 2004 - jstage.jst.go.jp
We introduce the notion of a relative log scheme with boundary: a morphism of log schemes
together with a (log schematically) dense open immersion of its source into a third log …

On the volume of isolated singularities

Y Zhang - Compositio Mathematica, 2014 - cambridge.org
COMPOSITIO MATHEMATICA Page 1 COMPOSITIO MATHEMATICA FOUNDATION
COMPOSITIO MATHEMATICA On the volume of isolated singularities Yuchen Zhang …

Simple connectedness of Fano log pairs with semi-log canonical singularities

O Fujino, W Liu - Mathematische Zeitschrift, 2020 - Springer
Simple connectedness of Fano log pairs with semi-log canonical singularities | SpringerLink
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