4 papers
Prime Fano fourfolds in classical and generalized Grassmannians
Alessandro Frassineti
We provide a complete classification of Fano fourfolds of Picard rank 1 and index 1 obtained as zero loci of completely reducible homogeneous vector bundles in generalized Grassman…
Spinorial Fano manifolds
Alessandro Frassineti, Laurent Manivel
We construct prime Fano manifolds from spin representations of for . In this range, and if , the projectivizations of these representations are prehomoge…
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…
Modular vector bundles on hyperkähler manifolds of Debarre-Voisin type
Alessandro Frassineti, Federico Tufo
Let X be a very general Debarre--Voisin fourfold. In this article, we prove that all the Schur functors of the restriction of the quotient bundle of Gr(6,10) to X are modular and p…