From the 1 of 7 linked papers with an AI index.
7 papers
An atomic criterion for irrationality without quantum computations
Vladimiro Benedetti, Aideen Fay, Jérémy Guéré +2
The paper presents a cohomological criterion that proves irrationality of certain algebraic varieties without computing quantum atoms, using monodromy equivariance and irreducibili…
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…
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…
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…
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 all…
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…