Singularities of linear systems and boundedness of Fano varieties
C Birkar - Annals of Mathematics, 2021 - projecteuclid.org
We study log canonical thresholds (also called global log canonicalthreshold or α-invariant)
of R-linear systems. We prove existence of positive lower bounds in different settings, in …
of R-linear systems. We prove existence of positive lower bounds in different settings, in …
Equivariant minimal model program
YG Prokhorov - Russian Mathematical Surveys, 2021 - iopscience.iop.org
Equivariant minimal model program - IOPscience This site uses cookies. By continuing to use
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this site you agree to our use of cookies. To find out more, see our Privacy and Cookies policy …
The rationality problem for conic bundles
YG Prokhorov - Russian Mathematical Surveys, 2018 - iopscience.iop.org
This expository paper is concerned with the rationality problem for three-dimensional
algebraic varieties with a conic bundle structure. The main methods of this theory are …
algebraic varieties with a conic bundle structure. The main methods of this theory are …
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
We discuss various results on Hilbert schemes of lines and conics and automorphism
groups of smooth Fano threefolds of Picard rank 1. Besides a general review of facts well …
groups of smooth Fano threefolds of Picard rank 1. Besides a general review of facts well …
Singularities of linear systems and boundedness of Fano varieties
C Birkar - arxiv preprint arxiv:1609.05543, 2016 - arxiv.org
We study log canonical thresholds (also called global log canonical threshold or $\alpha $-
invariant) of $\mathbb {R} $-linear systems. We prove existence of positive lower bounds in …
invariant) of $\mathbb {R} $-linear systems. We prove existence of positive lower bounds in …
Jordan property for groups of birational selfmaps
COMPOSITIO MATHEMATICA Page 1 COMPOSITIO MATHEMATICA FOUNDATION
COMPOSITIO MATHEMATICA Jordan property for groups of birational selfmaps Yuri …
COMPOSITIO MATHEMATICA Jordan property for groups of birational selfmaps Yuri …
Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces
IA Cheltsov, YA Rubinstein, K Zhang - Selecta Mathematica, 2019 - Springer
The purpose of this article is to develop techniques for estimating basis log canonical
thresholds on logarithmic surfaces. To that end, we develop new local intersection estimates …
thresholds on logarithmic surfaces. To that end, we develop new local intersection estimates …
Jordan constant for Cremona group of rank 3
arxiv:1608.00709v4 [math.AG] 8 Jun 2017 Page 1 arxiv:1608.00709v4 [math.AG] 8 Jun
2017 JORDAN CONSTANT FOR CREMONA GROUP OF RANK 3 YURI PROKHOROV …
2017 JORDAN CONSTANT FOR CREMONA GROUP OF RANK 3 YURI PROKHOROV …
Jordan groups and automorphism groups of algebraic varieties
VL Popov - Automorphisms in Birational and Affine Geometry …, 2014 - Springer
The first section of this paper is focused on Jordan groups in abstract setting, the second on
that in the settings of automorphisms groups and groups of birational self-maps of algebraic …
that in the settings of automorphisms groups and groups of birational self-maps of algebraic …
On connectedness of non-klt loci of singularities of pairs
C Birkar - arxiv preprint arxiv:2010.08226, 2020 - arxiv.org
We study the non-klt locus of singularities of pairs. We show that given a pair $(X, B) $ and a
projective morphism $ X\to Z $ with connected fibres such that $-(K_X+ B) $ is nef over $ Z …
projective morphism $ X\to Z $ with connected fibres such that $-(K_X+ B) $ is nef over $ Z …