Punctual noncommutative Hilbert schemes
Published: Oct 29, 2025
Last Updated: Oct 29, 2025
Authors:Markus Reineke
Abstract
Punctual noncommutative Hilbert schemes are projective varieties parametrizing finite codimensional left ideals in noncommutative formal power series rings. We determine their motives and intersection cohomology, by constructing affine pavings and small resolutions of singularities.