Commuting matrices and the Hilbert scheme of points on affine spaces-Reference-Cited by-同舟云学术

Commuting matrices and the Hilbert scheme of points on affine spaces

Published:2018-07-20 Issue:4 Volume:18 Page:467-482
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Henni Abdelmoubine A.¹,Jardim Marcos²

Affiliation:

1. Universidade Federal de Santa Catarina , Departamento de Matemática, Campus Universitário Trindade , CEP 88.040-900 Florianápolis - SC , Brasil

2. IMECC - UNICAMP, Departamento de Matemática , Rua Sérgio Buarque de Holanda, 651, Cidade Universitária, 13083-859 Campinas – SP , Brazil

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2018-0011/pdf

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