6 citations · 23 across the 24 of their papers we have counts for
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An atomic criterion for irrationality without quantum computations
Vladimiro Benedetti, Aideen Fay, Jérémy Guéré +2
The birational invariants introduced by Katzarkov-Kontsevich-Pantev-Yu allows one to obtain irrationality results for varieties whose quantum cohomology is well-behaved. We observe…
Quantum cohomology and birational geometry of Verra fourfolds
Vladimiro Benedetti, Jérémy Guéré, Laurent Manivel +1
We compute the small quantum cohomology ring of a Verra fourfold. Using the theory of atoms recently developped by Katzarkov--Kontsevich--Pantev--Yu, and building on recent papers…
Minimal-Degree Foliations on Cominuscule Grassmannians
Vladimiro Benedetti, Crislaine Kuster, Alan Muniz
Given a cominuscule Grassmannian (or irreducible Hermitian symmetric space) and an integer we compute the minimum such that is not 0. This allo…
Quantum cohomology and irrationality of Gushel-Mukai fourfolds
Vladimiro Benedetti, Laurent Manivel, Nicolas Perrin
We compute the small quantum cohomology of Gushel-Mukai fourfolds. Following [13], our computations imply that the very general ones are not rational. Following [8], and thanks to…
Göpel Varieties
Vladimiro Benedetti, Michele Bolognesi, Daniele Faenzi +1
We show that the Coble hypersurfaces, uniquely characterized by the remarkable property that their singular loci are an abelian surface and a Kummer threefold, respectively, belong…
Intersection of two quadrics: modular interpretation and Hitchin morphism
Vladimiro Benedetti, Andreas Höring, Jie Liu
The cotangent bundle of a smooth intersection of two quadrics admits a Lagrangian fibration determined by the intrinsic geometry of . We show that this fibration is a…
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…
Quantum K-theory of IG(2, 2n)
Vladimiro Benedetti, Nicolas Perrin, Weihong Xu
We prove that the Schubert structure constants of the quantum K-theory rings of symplectic Grassmannians of lines have signs that alternate with codimension and vanish for degrees…
Logarithmic Derivations of Adjoint Discriminants
Vladimiro Benedetti, Daniele Faenzi, Simone Marchesi
We exhibit a relationship between projective duality and the sheaf of logarithmic vector fields along a reduced divisor of projective space, in that the push-forward of the ide…
Hecke cycles on moduli of vector bundles and orbital degeneracy loci
Vladimiro Benedetti, Michele Bolognesi, Daniele Faenzi +1
Given a smooth genus two curve , the moduli space SU of rank three semi-stable vector bundles on with trivial determinant is a double cover in branched…
Derived category of the spinor 15-fold
Vladimiro Benedetti, Daniele Faenzi, Maxim Smirnov
We construct a full exceptional Lefschetz collection on the spinor 15-fold consisting of a connected component of the space of orthogonal 6-dimensional subspaces of a 12-dimensiona…
The Coble Quadric
Vladimiro Benedetti, Daniele Faenzi, Michele Bolognesi +1
Given a smooth genus three curve , the moduli space of rank two stable vector bundles on C with trivial determinant embeds in as a hypersurface whose singular loc…
Rationality of peskine varieties
Vladimiro Benedetti, Daniele Faenzi
We study the rationality of the Peskine sixfolds in P^9. We prove the rationality of the Peskine sixfolds in the divisor D^{3,3,10} inside the moduli space of Peskine sixfolds and…
Codimension one foliations on homogeneous varieties
Vladimiro Benedetti, Daniele Faenzi, Alan Muniz
The aim of this paper is to study codimension one foliations on rational homogeneous spaces, with a focus on the moduli space of foliations of low degree on Grassmannians and comin…
Cohomology of hyperplane sections of (co)adjoint varieties
Vladimiro Benedetti, Nicolas Perrin
In this paper we study general hyperplane sections of adjoint and coadjoint varieties. We show that these are the only sections of homogeneous varieties such that a maximal torus o…
Discriminants of Theta-Representations
Vladimiro Benedetti, Laurent Manivel
Tevelev has given a remarkable explicit formula for the discriminant of a complex simple Lie algebra, which can be defined as the equation of the dual hypersurface of the minimal n…
On the automorphisms of hyperplane sections of generalized Grassmannians
Vladimiro Benedetti, Laurent Manivel
Given a smooth hyperplane section of a rational homogeneous space with Picard number one, we address the question whether it is always possible to lift an automorphism of…
Projective manifolds whose tangent bundle is Ulrich
Vladimiro Benedetti, Pedro Montero, Yulieth Prieto Montañez +1
In this article, we give numerical restrictions on the Chern classes of Ulrich bundles on higher-dimensional manifolds, which are inspired by the results of Casnati in the case of…
Some divisors in the moduli space of Debarre-Voisin varieties
Vladimiro Benedetti, Jieao Song
Let be a 10-dimensional complex vector space and let be a non-zero alternating 3-form. One can define several associated degeneracy loci: the…
The small quantum cohomology of the Cayley Grassmannian
Vladimiro Benedetti, Laurent Manivel
We compute the small cohomology ring of the Cayley Grassmannian, that parametrizes four-dimensional subalgebras of the complexified octonions. We show that all the Gromov-Witten in…
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…
Bisymplectic Grassmannians of planes
Vladimiro Benedetti
The bisymplectic Grassmannian IGr parametrizes k-dimensional subspaces of a vector space V which are isotropic with respect to two general skew-symmetric forms; it is a…
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…
Crepant resolutions of orbit closures in Quiver representations of type A\_n and D\_4
Vladimiro Benedetti
We study resolutions of singularities of orbit closures in quiver representations. We consider certain resolutions of singularities which have already been constructed by Reineke,…