ON GENERATING SERIES OF CLASSES OF EQUIVARIANT HILBERT SCHEMES OF FAT POINTS

被引：0

作者：

Gusein-Zade, S. M. ^{[1
]}

Luengo, I. ^{[2
]}

Melle-Hernandez, A. ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Math & Mech, Moscow 119991, Russia

[2] Univ Complutense Madrid, Dept Algebra, E-28040 Madrid, Spain

来源：

MOSCOW MATHEMATICAL JOURNAL | 2010年 / 10卷 / 03期

关键词：

Hilbert schemes of zero-dimensional subschemes; group actions; generating series; GROTHENDIECK RING; POWER-STRUCTURE; VARIETIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss different definitions of equivariant (with respect to an action of a finite group on a manifold) Hilbert schemes of zero-dimensional subschemes and compute generating series of classes of equivariant Hilbert schemes for actions of cyclic groups on the plane in some cases.

引用

下载

页码：593 / 602

页数：10

共 50 条

[21] Hilbert schemes of 8 points
Cartwright, Dustin A.
Erman, Daniel
Velasco, Mauricio
Viray, Bianca
ALGEBRA & NUMBER THEORY, 2009, 3 (07) : 763 - 795
[22] REPRESENTABILITY OF HILBERT SCHEMES AND HILBERT STACKS OF POINTS
Rydh, David
COMMUNICATIONS IN ALGEBRA, 2011, 39 (07) : 2632 - 2646
[23] Equivariant Euler classes and rationally smooth points
Arabia, A
ANNALES DE L INSTITUT FOURIER, 1998, 48 (03) : 861 - +
[24] Topology of Z3-equivariant Hilbert schemes
Castro, Deborah
Ross, Dustin
ELECTRONIC JOURNAL OF COMBINATORICS, 2019, 26 (01):
[25] RATIONALITY OF EQUIVARIANT HILBERT SERIES AND ASYMPTOTIC PROPERTIES
Nagel, Uwe
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (10) : 7313 - 7357
[26] DEFORMATION OF HILBERT SCHEMES OF POINTS ON A SURFACE
FANTECHI, B
COMPOSITIO MATHEMATICA, 1995, 98 (02) : 205 - 217
[27] Elementary components of Hilbert schemes of points
Jelisiejew, Joachim
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2019, 100 (01): : 249 - 272
[28] THE GEOMETRY OF DEGENERATIONS OF HILBERT SCHEMES OF POINTS
Gulbrandsen, Martin G.
Halle, Lars H.
Hulek, Klaus
Zhang, Ziyu
JOURNAL OF ALGEBRAIC GEOMETRY, 2021, 30 (01) : 1 - 56
[29] Hilbert schemes of points and Heisenberg algebras
Ellingsrud, G
Göttsche, L
MODULI SPACES IN ALGEBRAIC GEOMETRY, 2000, 1 : 59 - +
[30] Sklyanin algebras and Hilbert schemes of points
Nevins, T. A.
Stafford, J. T.
ADVANCES IN MATHEMATICS, 2007, 210 (02) : 405 - 478

← 1 2 3 4 5 →