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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Commuting matrices and the Hilbert scheme of points on affine spaces

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Author(s):
Henni, Abdelmoubine A. [1] ; Jardim, Marcos [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Santa Catarina, Dept Matemat, Campus Univ Trindade, BR-88040900 Florianopolis, SC - Brazil
[2] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: ADVANCES IN GEOMETRY; v. 18, n. 4, p. 467-482, OCT 2018.
Web of Science Citations: 0
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 C-3 is irreducible for c <= 10. (AU)

FAPESP's process: 09/12576-9 - Geometry of hyperkähler structures
Grantee:Marcos Benevenuto Jardim
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 14/14743-8 - Sheaves on projective varieties
Grantee:Marcos Benevenuto Jardim
Support Opportunities: Regular Research Grants