4 papers
Universal Brauer-Severi varieties
Frank Gounelas, Daniel Huybrechts
We construct universal Brauer-Severi varieties of fixed period and index and study their geometry. We determine their cohomology and their Brauer and Picard groups and show that th…
The Tate-Shafarevich group of a polarised K3 surface
Daniel Huybrechts, Dominique Mattei
In an earlier paper we generalised the notion of the Tate-Shafarevich group of an elliptic K3 surface to the Tate-Shafarevich group of a polarised K3 surface. In the present note,…
The special Brauer group and twisted Picard varieties
Daniel Huybrechts, Dominique Mattei
We generalise the notion of the Tate-Shafarevich group of an elliptic K3 surface with a section to the Tate-Shafarevich group of a K3 surface endowed with a linear system. The cons…
Derived categories of Fano varieties of lines
Alessio Bottini, Daniel Huybrechts
We gather evidence for a conjecture of Galkin predicting the derived category of the Fano variety of lines contained in a smooth cubic fourfold to be equivalent to the Hilbert squa…