9 citations · 37 across the 13 of their papers we have counts for
15 papers · 1 filter
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…
On a conjecture on aCM and Ulrich sheaves on degeneracy loci
Vladimiro Benedetti, Fabio Tanturri
In this paper we address a conjecture by Kleppe and Miró-Roig stating that suitable twists by line bundles (on the smooth locus) of the exterior powers of the normal sheaf of a sta…
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…
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…
Polyvector fields for Fano 3-folds
Pieter Belmans, Enrico Fatighenti, Fabio Tanturri
We compute the Hochschild-Kostant-Rosenberg decomposition of the Hochschild cohomology of Fano 3-folds. This is the first step in understanding the non-trivial Gerstenhaber algebra…
Fano 3-folds from homogeneous vector bundles over Grassmannians
Lorenzo De Biase, Enrico Fatighenti, Fabio Tanturri
We rework the Mori-Mukai classification of Fano 3-folds, by describing each of the 105 families via biregular models as zero loci of general global sections of homogeneous vector b…
On the unirationality of moduli spaces of pointed curves
Hanieh Keneshlou, Fabio Tanturri
We show that , the moduli space of smooth curves of genus together with marked points, is unirational for and and for and…
The geometry of the Coble cubic and orbital degeneracy loci
Vladimiro Benedetti, Laurent Manivel, Fabio Tanturri
The Coble cubics were discovered more than a century ago in connection with genus two Riemann surfaces and theta functions. They have attracted renewed interest ever since. Recentl…
Orbital degeneracy loci II: Gorenstein orbits
Vladimiro Benedetti, Sara Filippini, Laurent Manivel +1
In [BFMT17] we introduced orbital degeneracy loci as generalizations of degeneracy loci of morphisms between vector bundles. Orbital degeneracy loci can be constructed from any sta…
The unirationality of the Hurwitz schemes and
Hanieh Keneshlou, Fabio Tanturri
We show that the Hurwitz scheme parametrizing -sheeted simply branched covers of the projective line by smooth curves of genus , up to isomorphism, is uni…
Orbital degeneracy loci and applications
Vladimiro Benedetti, Sara Angela Filippini, Laurent Manivel +1
Degeneracy loci of morphisms between vector bundles have been used in a wide variety of situations. We introduce a vast generalization of this notion, based on orbit closures of al…
Matrix factorizations and curves in
Frank-Olaf Schreyer, Fabio Tanturri
Let be a curve in and be a hypersurface containing it. We show how it is possible to construct a matrix factorization on from the pair and, conve…
Degeneracy loci of twisted differential forms and linear line complexes
Fabio Tanturri
We prove that the Hilbert scheme of degeneracy loci of pairs of global sections of Omega(2), the twisted cotangent bundle on P^(n-1), is unirational and dominated by the Grassmanni…
On the Hilbert scheme of degeneracy loci of twisted differential forms
Fabio Tanturri
We prove that, for 3 < m < n-1, the Grassmannian of m-dimensional subspaces of the space of skew-symmetric forms over a vector space of dimension n is birational to the Hilbert sch…
Pfaffian representations of cubic surfaces
Fabio Tanturri
Let K be a field of characteristic zero. We describe an algorithm which requires a homogeneous polynomial F of degree three in K[x_0,x_1,x_2,x_3] and a zero A of F in P^3_K and ens…