5 papers · 1 filter
Infinitesimal invariants of genus 4 curves and the Griffiths-Pirola cycle
Matteo Verni
We give an explicit algebraic description for the infinitesimal invariants associated to the Griffiths-Pirola cycle on the universal genus 4 curve and its self intersection. We app…
On Brauer groups of known Enriques manifolds
Alessandro Frassineti, Francesca Rizzo, Federico Tufo +1
We compute the Brauer group of some of the known Enriques manifolds. We then build special Brauer-Severi varieties on these manifolds and study the pull-back map from the Brauer gr…
On the topological Brauer group of generalized Kummer varieties
Moritz Hartlieb, Matteo Verni
We study the topological Brauer group of generalized Kummer varieties. We prove that it vanishes when their dimension is divisible by 4, while for all other dimensions except dimen…
Galois covers of Calabi-Yau manifolds
Matteo Verni
We study Galois rational maps between smooth projective varieties with trivial canonical bundle, with a particular interest in the case where the codomain is Hyper-Kähler. We obtai…
Lefschetz Defect in Families
Matteo Verni
We provide a cohomological characterization of the Lefschetz defect of smooth complex projective varieties. As a consequence, we deduce that the Lefschetz defect of a smooth Fano v…