4 papers
Symmetric Differentials on K3 Surfaces
Frank Gounelas, Christian Liedtke
We prove that a K3 surface over an algebraically closed field admits a nonzero global symmetric differential of positive degree if and only if the characteristic is , and it i…
The universal cover of the second-type locus of a cubic
Frank Gounelas
We prove that the surface of second-type lines on a general cubic fourfold has fundamental group of order two. Its universal cover, constructed by Huybrechts, is obtained by consid…
Isotrivial smooth curves on surfaces
Xi Chen, Frank Gounelas
We prove that a smooth projective non-uniruled surface of Picard rank one, generated by an ample and base point free line bundle, cannot be covered by an isotrivial family of smoot…
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…