16 citations · 23 across the 12 of their papers we have counts for
13 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…
Spinorial Fano manifolds
Alessandro Frassineti, Laurent Manivel
We construct prime Fano manifolds from spin representations of for . In this range, and if , the projectivizations of these representations are prehomoge…
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…
More birational involutions
Pietro Beri, Laurent Manivel
For a very general polarized K3 surface of degree , we describe in geometrical terms a birational involution of the Hilbert scheme of points on the surface,…
F4 and desmic quartic surfaces
Laurent Manivel
The desmic pencil of quartic surfaces is part of a beautiful, but mostly forgotten chapter of the classical theory of algebraic surfaces: it is the only non-degenerate pencil of su…