2018
Henni, Abdelmoubine A.; Jardim, Marcos
Commuting matrices and the Hilbert scheme of points on affine spaces Journal Article
Em: Advances in Geometry, vol. 18, iss. 4, 2018.
Resumo | Links | BibTeX | Tags: Hilbert scheme of points
@article{nokey,
title = {Commuting matrices and the Hilbert scheme of points on affine spaces},
author = {Abdelmoubine A. Henni and Marcos Jardim},
url = {https://www.degruyter.com/document/doi/10.1515/advgeom-2018-0011/html},
doi = {https://doi.org/10.1515/advgeom-2018-0011},
year = {2018},
date = {2018-07-20},
journal = {Advances in Geometry},
volume = {18},
issue = {4},
abstract = {We give linear algebraic and monadic descriptions of the Hilbert scheme of points on the affine space of dimension n which naturally extends Nakajima’s representation of the Hilbert scheme of points on the plane. As an application of our ideas and recent results from the literature on commuting matrices, we show that the Hilbert scheme of c points on ℂ3 is irreducible for c ≤ 10.},
keywords = {Hilbert scheme of points},
pubstate = {published},
tppubtype = {article}
}
We give linear algebraic and monadic descriptions of the Hilbert scheme of points on the affine space of dimension n which naturally extends Nakajima’s representation of the Hilbert scheme of points on the plane. As an application of our ideas and recent results from the literature on commuting matrices, we show that the Hilbert scheme of c points on ℂ3 is irreducible for c ≤ 10.