21 citations · 59 across the 11 of their papers we have counts for
12 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…
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…
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…
Congruences on K-theoretic Gromov--Witten invariants
Jérémy Guéré
We study K-theoretic Gromov--Witten invariants of projective hypersurfaces using a virtual localization formula under finite group actions. In particular, it provides all K-theoret…
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…
Equivariant Landau--Ginzburg mirror symmetry
Jérémy Guéré
We give a new proof of the computation of Hodge integrals we have previously obtained for the quantum singularity (FJRW) theory of chain polynomials. It uses the classical localiza…