The Brauer group of double covers

Seminar: 
Algebraic and Tropical Geometry
Event time: 
Thursday, October 8, 2015 - 12:30pm to 1:30pm
Location: 
431 DL
Speaker: 
Alexei Skorobogatov
Speaker affiliation: 
Imperial College London
Event description: 

Under appropriate conditions, the 2-torsion of the Brauer group of a double cover can be expressed in terms of the natural maps between the Picard groups of the cover, the base, and the ramification divisor. In particular, this can be applied to K3 double covers of rational surfaces.