9 citations · 17 across the 7 of their papers we have counts for
7 papers · 1 filter
Fano threefolds
Yuri Prokhorov
The goal of these lecture notes is to present the modern point of view on the classification of Fano threefolds. We tried to offer a self-consistent treatment of the topics covered…
Birational transformations of threefold -conic bundles
Yuri Prokhorov
A -conic bundle is a contraction of a three-dimensional algebraic variety to a surface~ such that the variety~ has only terminal -fact…
On the birational geometry of -Fano threefolds of large Fano index, II
Yuri Prokhorov
This paper is a sequel to [arXiv:2403.18389]. We investigate the rationality problem for -Fano threefolds of Fano index .
Icosahedron in birational geometry
Yuri Prokhorov
We study quotients of projective and affine spaces by various actions of the icosahedral group. Basically we concentrate on the rationality questions.
On the birational geometry of sextic threefold hypersurface in
Yuri Prokhorov
We investigate birational properties of hypersurfaces of degree in the weighted projective space . In particular, we prove that any such quasi-smooth hyp…
On the birational geometry of -Fano threefolds of large Fano index, I
Yuri Prokhorov
We investigate the rationality problem for -Fano threefolds of Fano index .
Bounded automorphism groups of compact complex surfaces
Yuri Prokhorov, Constantin Shramov
We classify compact complex surfaces whose groups of bimeromorphic selfmaps have bounded finite subgroups. We also prove that the stabilizer of a point in the automorphism group of…