Yuri G. Zarhin

most citedSurjectivity of certain word maps on PSL(2,C) and SL(2,C)

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2014★ 5 cited

Surjectivity of certain word maps on PSL(2,C) and SL(2,C)

Tatiana Bandman, Yuri G. Zarhin

We show that an element w of a free group F on n generators defines a surjective word map of PSL(2,C)^n onto PSL(2,C) unless w belongs to the second derived subgroup of F. We also…

math.AG2014

Jordan groups and algebraic surfaces

Tatiana Bandman, Yuri G. Zarhin

We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups holds for the groups of biregular automorphisms of algebraic surfaces. This gives a posit…

math.AG2014

A finiteness theorem for the Brauer group of K3 surfaces in odd characteristic

Alexei N. Skorobogatov, Yuri G. Zarhin

Let $k$ be a field finitely generated over the finite field $F_{p}$ of odd characteristic $p$ . For any K3 surface $X$ over $k$ we prove that the prime to $p$ component of the…