A. Skorobogatov

activity

19972026

most citedOn the Brauer group of diagonal quartic surfaces

41 citations · 153 across the 33 of their papers we have counts for

collaborators

Showing 2006Show all

3 papers · 1 filter

math.AG2006★ 1 cited

Del Pezzo surfaces and representation theory

Vera Serganova, Alexei Skorobogatov

In his book "Cubic forms" Manin discovered that del Pezzo surfaces are related to root systems. To explain the many numerical coincidences Batyrev conjectured that a universal tors…

math.NT2006★ 2 cited

The elementary obstruction and homogeneous spaces

M. Borovoi, J-L. Colliot-Thélène, A. N. Skorobogatov

Let $k$ be a field of characteristic zero and $k ˉ$ an algebraic closure of $k$ . For a geometrically integral variety $X$ over $k$ , we write $k ˉ (X)$ for the function fie…

math.NT2006★ 9 cited

A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces

Alexei Skorobogatov, Yuri Zarhin

Let $k$ be a field that is finitely generated over the field of rational numbers and $B r (k)$ the Brauer group of $k$ . Let $X$ be an absolutely irreducible smooth projective variety…