Punctual noncommutative Hilbert schemes
Algebraic Geometry
2025-10-31 v1 Combinatorics
Rings and Algebras
Representation Theory
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.
Cite
@article{arxiv.2510.25940,
title = {Punctual noncommutative Hilbert schemes},
author = {Markus Reineke},
journal= {arXiv preprint arXiv:2510.25940},
year = {2025}
}
Comments
15 pages