3 papers
math.AG2026
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…
math.AG2026
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…
math.AG2025
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…