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Showing 2026Show all
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math.AG2026
Moderate and rapid-decay nearby cycles for holonomic D-modules
Claude Sabbah
We introduce the notion of moderate and rapid decay nearby cycles relative to a holomorphic function for an arbitrary holonomic -module. They are proved to be $\ma…
math.AG2026
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…
math.AG2026
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…