Equivariant minimal model program

YG Prokhorov - Russian Mathematical Surveys, 2021 - iopscience.iop.org
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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 …

Hilbert schemes of lines and conics and automorphism groups of Fano threefolds

AG Kuznetsov, YG Prokhorov, CA Shramov - Japanese Journal of …, 2018 - Springer
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 …

[PDF][PDF] Fano threefolds with infinite automorphism groups

I Cheltsov, V Przyjalkowski, C Shramov - arXiv preprint arXiv:1809.09223, 2018 - arxiv.org
One of the most important results obtained by Iskovskikh is a classification of smooth Fano
threefolds of Picard rank 1 (see [Is77],[Is78]). In fact, he was the one who introduced the …

Automorphisms of weighted projective hypersurfaces

L Esser - Journal of Pure and Applied Algebra, 2024 - Elsevier
We prove several results concerning automorphism groups of quasismooth complex
weighted projective hypersurfaces; these generalize and strengthen existing results for …

The Jordan constant for Cremona group of rank 2

E Yasinsky - arXiv preprint arXiv:1610.09654, 2016 - arxiv.org
arXiv:1610.09654v3 [math.AG] 24 Jul 2023 Page 1 arXiv:1610.09654v3 [math.AG] 24 Jul
2023 The Jordan Constant For Cremona Group of Rank 2 Egor Yasinsky* Steklov …

Automorphism groups of compact complex surfaces

Y Prokhorov, C Shramov - International Mathematics Research …, 2021 - academic.oup.com
We study automorphism groups and birational automorphism groups of compact complex
surfaces. We show that the automorphism group of such a surface is always Jordan, and the …

[PDF][PDF] Finite groups of birational selfmaps of threefolds

Y Prokhorov, C Shramov - arXiv preprint arXiv:1611.00789, 2016 - arxiv.org
arXiv:1611.00789v3 [math.AG] 11 Jul 2017 Page 1 arXiv:1611.00789v3 [math.AG] 11 Jul
2017 FINITE GROUPS OF BIRATIONAL SELFMAPS OF THREEFOLDS YURI PROKHOROV …

‐subgroups in the space Cremona group

Y Prokhorov, C Shramov - Mathematische Nachrichten, 2018 - Wiley Online Library
We prove that if X is a rationally connected threefold and G is ap‐subgroup in the group of
birational selfmaps of X, then G is an abelian group generated by at most 3 elements …

Finite groups of birational transformations

Y Prokhorov - arXiv preprint arXiv:2108.13325, 2021 - content.ems.press
We work over a field k of characteristic 0. Typically, unless otherwise mentioned, we assume
that k is algebraically closed. The Cremona group Crn. k/of rank n is the group of k …