From the 1 of 4 linked papers with an AI index.
4 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…
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…
Hodge-Gromov-Witten theory
Jérémy Guéré
We determine the all-genus Hodge-Gromov-Witten theory of a smooth hypersurface in weighted projective space defined by a chain or loop polynomial. In particular, we obtain the firs…
On the irrationality of cubic fourfolds
Jérémy Guéré
Following the work of Katzarkov--Kontsevich--Pantev--Yu concerning the irrationality of the very general complex cubic fourfold, we prove the following: for every rational smooth c…