4 citations · 8 across the 8 of their papers we have counts for
12 papers
K3 structures from singular Fano varieties
Enrico Fatighenti
We survey some results obtained in our quest for Fano varieties of K3 type and discuss why exploring the singular world might be interesting for discovering new K3 structures.
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…
Even nodal surfaces of K3 type
Marcello Bernardara, Enrico Fatighenti, Grzegorz Kapustka +4
We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperKähler varieties. As a result we describe f…
Topics on Fano varieties of K3 type
Enrico Fatighenti
This is a survey paper about a selection of recent results on the geometry of a special class of Fano varieties, which are called of K3 type. The focus is mostly Hodge-theoretical,…
Hilbert squares of degeneracy loci
Enrico Fatighenti, Francesco Meazzini, Giovanni Mongardi +1
Let be the first degeneracy locus of a morphism of vector bundles corresponding to a general matrix of linear forms in . We prove that, under certain positivity c…
Fano fourfolds of K3 type
Marcello Bernardara, Enrico Fatighenti, Laurent Manivel +1
We produce a list of 64 families of Fano fourfolds of K3 type, extracted from our database of at least 634 Fano fourfolds constructed as zero loci of general global sections of com…