26 citations · 137 across the 41 of their papers we have counts for
49 papers
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…
Sphericality of spaces of conics on homogeneous spaces
Minseong Kwon, Nicolas Perrin
We prove that the Hilbert scheme of conics on , a projective rational homogeneous space with Picard rank one, is -spherical if and only if is associated to a long r…
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…
Equivariant rigidity of Richardson varieties
Anders S. Buch, Pierre-Emmanuel Chaput, Nicolas Perrin
We prove that Schubert and Richardson varieties in flag manifolds are uniquely determined by their equivariant cohomology classes, as well as a stronger result that replaces Schube…
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…