On the McKay correspondences for the Hilbert scheme of points on the affine plane

被引：3

作者：

Boissière, S ^{[1
]}

机构：

[1] Univ Nice, Lab JA Dieudonne, F-06108 Nice 2, France

来源：

MATHEMATISCHE ANNALEN | 2006年 / 334卷 / 02期

关键词：

Hilbert scheme; McKay correspondence; symmetric functions; equivariant cohomology; Macdonald polynomials;

D O I：

10.1007/s00208-005-0738-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The quotient of a finite-dimensional vector space by the action of a finite subgroup of automorphisms is usually a singular variety. Under appropriate assumptions, the McKay correspondence relates the geometry of nice resolutions of singularities and the representations of the group. For the Hilbert scheme of points on the affine plane, we study how different correspondences (McKay, dual McKay and multiplicative McKay) are related to each other.

引用

页码：419 / 438

页数：20

共 50 条

[1] On the McKay correspondences for the Hilbert scheme of points on the affine plane
Samuel Boissière
Mathematische Annalen, 2006, 334 : 419 - 438
[2] Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane
Boissière, S
JOURNAL OF ALGEBRAIC GEOMETRY, 2005, 14 (04) : 761 - 787
[3] An Algebro-Geometric Realization of the Cohomology Ring of Hilbert Scheme of Points in the Affine Plane
Hikita, Tatsuyuki
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017, 2017 (08) : 2538 - 2561
[4] ON THE HOMOLOGY OF THE HILBERT SCHEME OF POINTS IN THE PLANE
ELLINGSRUD, G
STROMME, SA
INVENTIONES MATHEMATICAE, 1987, 87 (02) : 343 - 352
[5] Commuting matrices and the Hilbert scheme of points on affine spaces
Henni, Abdelmoubine A.
Jardim, Marcos
ADVANCES IN GEOMETRY, 2018, 18 (04) : 467 - 482
[6] ON A CELL DECOMPOSITION OF THE HILBERT SCHEME OF POINTS IN THE PLANE
ELLINGSRUD, G
STROMME, SA
INVENTIONES MATHEMATICAE, 1988, 91 (02) : 365 - 370
[7] Quantum cohomology of the Hilbert scheme of points in the plane
Okounkov, A.
Pandharipande, R.
INVENTIONES MATHEMATICAE, 2010, 179 (03) : 523 - 557
[8] Quantum cohomology of the Hilbert scheme of points in the plane
A. Okounkov
R. Pandharipande
Inventiones mathematicae, 2010, 179 : 523 - 557
[9] A STRATIFICATION OF THE HILBERT SCHEME OF POINTS IN THE PROJECTIVE PLANE
GOTZMANN, G
MATHEMATISCHE ZEITSCHRIFT, 1988, 199 (04) : 539 - 547
[10] Elliptic stable envelope for Hilbert scheme of points in the plane
Andrey Smirnov
Selecta Mathematica, 2020, 26

← 1 2 3 4 5 →