119 citations · 995 across the 77 of their papers we have counts for
6 papers · 1 filter
Finite groups of birational selfmaps of threefolds
Yuri Prokhorov, Constantin Shramov
We determine three-dimensional algebraic varieties whose groups of birational selfmaps do not satisfy the Jordan property.
p-subgroups in the space Cremona group
Yuri Prokhorov, Constantin Shramov
We prove that if is a rationally connected threefold and is a -subgroup in the group of birational selfmaps of , then is an abelian group generated by at most …
Jordan constant for Cremona group of rank 3
Yuri Prokhorov, Constantin Shramov
We give explicit bounds for Jordan constants of groups of birational automorphisms of rationally connected threefolds over fields of zero characteristic, in particular, for Cremona…
A simple proof of the non-rationality of a general quartic double solid
Yuri Prokhorov
The aim of this short note is to give a simple proof of the non-rationality of the double cover of the three-dimensional projective space branched over a sufficiently general quart…
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
Alexander Kuznetsov, Yuri Prokhorov, Constantin Shramov
We discuss various results on Hilbert schemes of lines and conics and automorphism groups of smooth Fano threefolds with Picard rank 1. Besides a general review of facts well known…
Q-Fano threefolds of index
Yuri Prokhorov
We show that, for a -Fano threefold of Fano index 7, the inequality implies that is isomorphic to one of the following varieties $\mathbb P…