From the 1 of 9 linked papers with an AI index.
9 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…
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…