Yuri Prokhorov

activity

19962023

most citedHilbert schemes of lines and conics and automorphism groups of Fano threefolds

119 citations · 995 across the 77 of their papers we have counts for

collaborators

Showing 2009Show all

4 papers · 1 filter

math.AG2009

Rationality of Three-Dimensional Quotients by Monomial Actions

Ming-chang Kang, Yuri G. Prokhorov

Let $G$ be a finite 2-group and $K$ be a field satisfying that (i) $\fn{char}K\ne 2$, and (ii) $a \in K$ for any $a \in K$ . If $G$ acts on the rational function field $K(x,y,z…

math.AG2009★ 6 cited

p-elementary subgroups of the Cremona group of rank 3

Yuri Prokhorov

For the subgroups of the Cremona group $Cr_{3} (C)$ having the form $(μ_{p})^{s}$ , where $p$ is prime, we obtain an upper bound for $s$ . Our bound is sharp if…

math.AG2009★ 86 cited

Simple finite subgroups of the Cremona group of rank 3

Yuri Prokhorov

We classify all finite simple subgroups in the Cremona group of rank 3

math.AG2009★ 7 cited

Q-Fano threefolds of large Fano index, I

Yuri Prokhorov

We study Q-Fano threefolds of large Fano index. In particular, we prove that the maximum of Fano index is attained for the weighted projective space P(3,4,5,7).