Pré-Publication, Document De Travail Année : 2026

QUANTUM COHOMOLOGY AND IRRATIONALITY OF GUSHEL-MUKAI FOURFOLDS

Résumé

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 a suitable deformation of the small quantum cohomology ring, we also deduce that a rational Gushel-Mukai fourfold has the same rational cohomology as some K3 surface.

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hal-05556975 , version 1 (17-03-2026)

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Vladimiro Benedetti, Laurent Manivel, Nicolas Perrin. QUANTUM COHOMOLOGY AND IRRATIONALITY OF GUSHEL-MUKAI FOURFOLDS. 2026. ⟨hal-05556975⟩
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