5 papers
Weak Brill-Noether bundles on nodal Enriques surfaces
Enrico Fatighenti, Filippo Papallo, Federico Tufo
We study the weak Brill--Noether problem for vector bundles on nodal Enriques surfaces by exploiting the classical realization of a nodal Enriques surface as a Reye congruence…
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 Fano dimension of an Enriques surface
Federico Tufo
We construct a family of Fano fourfolds with the derived category of coherent sheaves of a general Enriques surface as semiorthogonal component. This improves a result of Kuznetsov…
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…
On the geometry of some quiver zero loci Fano fourfolds (with an appendix by E. Kalashnikov and F. Tufo)
Enrico Fatighenti, Fabio Tanturri, Federico Tufo
In this paper, we study 170 families of quiver flag zero loci Fano fourfolds as described by Kalashnikov. We interpret those manifolds as zero loci of sections of homogeneous vecto…