Work

A quantum connection approach to rationality

Year: 2026
Type: preprint
Abstract: We extract rank and regularized exponents from cyclic generic factors of the quantum connection and show that these data persist under the birational comparisons considered here. Applications include showing non-rationality of cubic threefolds, ordinary Gushel--Mukai threefolds, very general quartic fourfolds, and products of the threefolds with $\PP^1$.
Language: English
Open Access status: green
OpenAlex ID: W7220723222
Cites: 12
Cited by: 1
Related to: 10