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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
Sphericality of spaces of conics on homogeneous spaces
Minseong Kwon, Nicolas Perrin
We prove that the Hilbert scheme of conics on , a projective rational homogeneous space with Picard rank one, is -spherical if and only if is associated to a long r…