On generating series of classes of equivariant Hilbert schemes of fat points
| dc.contributor.author | Luengo Velasco, Ignacio | |
| dc.contributor.author | Gusein-Zade, Sabir Medgidovich | |
| dc.contributor.author | Melle Hernández, Alejandro | |
| dc.date.accessioned | 2023-06-20T00:16:49Z | |
| dc.date.available | 2023-06-20T00:16:49Z | |
| dc.date.issued | 2010-09 | |
| dc.description | The first named author supported in part by the grants RFBR-10-01-00678, NSh-709.2008.1. The last two authors were supported in part by the grant MTM2007-67908-C02-02. | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16511 | |
| dc.identifier.issn | 1609-3321 | |
| dc.identifier.officialurl | http://www.ams.org/distribution/mmj/vol10-3-2010/abst10-3-2010.html | |
| dc.identifier.relatedurl | http://www.ams.org/distribution/mmj/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42322 | |
| dc.issue.number | 3 | |
| dc.journal.title | Moscow Mathematical Journal | |
| dc.language.iso | eng | |
| dc.page.final | 602 | |
| dc.page.initial | 593 | |
| dc.publisher | Independent University of Moscow | |
| dc.relation.projectID | RFBR-10-01-00678 | |
| dc.relation.projectID | NSh-709.2008.1 | |
| dc.relation.projectID | MTM2007-67908-C02-02 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Hilbert schemes of zero-dimensional subschemes | |
| dc.subject.keyword | Group actions | |
| dc.subject.keyword | Generating series. | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | On generating series of classes of equivariant Hilbert schemes of fat points | |
| dc.type | journal article | |
| dc.volume.number | 10 | |
| dcterms.references | J. Cheah, On the cohomology of Hilbert schemes of points, J. Algebraic Geom. 5 (1996), no. 3, 479–511. S. Chen, Arithmetical properties of the number of t -core partitions, Ramanujan J. 18 (2009), no. 1, 103–112. A. Craw, D. Maclagan, and R. R. Thomas, Moduli of McKay quiver representations. I. The coherent component, Proc. Lond. Math. Soc. (3) 95 (2007), no. 1, 179–198. G. Ellingsrud and S. A. Strømme, On the homology of the Hilbert scheme of points in the plane, Invent. Math. 87 (1987), no. 2, 343–352. L. Göttsche, On the motive of the Hilbert scheme of points on a surface, Math. Res. Lett. 8 (2001), no. 5–6, 613–627. S. M. Gusein-Zade, I. Luengo, and A. Melle-Hernández, A power structure over the Grothendieck ring of varieties, Math. Res. Lett. 11 (2004), no. 1, 49–57. S. M. Gusein-Zade, I. Luengo, and A. Melle-Hernández, Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points, Michigan Math. J. 54 (2006), no. 2, 353–359. T. Hausel, Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform, Proc. Natl. Acad. Sci. USA 103 (2006), no. 16, 6120–6124 (electronic). G. James and A. Kerber, The representation theory of the symmetric group, Encyclopedia of Mathematics and its Applications, vol. 16, Addison-Wesley Publishing Co., Reading, Mass., 1981. MR 644144. With a foreword by P. M. Cohn, With an introduction by Gilbert de B. Robinson. M. Kapranov, The elliptic curve in the S -duality theory and Eisenstein series for Kac-Moody groups, Preprint arXiv:math/0001005 [math.AG]. D. Knutson, λ -rings and the representation theory of the symmetric group, Lecture Notes in Mathematics, Vol. 308, Springer-Verlag, Berlin, 1973. A. Kuznetsov, Quiver varieties and Hilbert schemes, Mose. Math. J. 7 (2007), no. 4, 673–697, 767. S. K. Lando, Lectures on generating functions, Student Mathematical Library, vol. 23, American Mathematical Society, Providence, RI, 2003. A. Nolla de Celis, Dihedral groups and G -Hilbert schemes, Ph.D. thesis, Univ. of Warwick, 2008. E. Sernesi, Deformations of algebraic schemes, Grundlehren der Mathematischen Wissenschaften, vol. 334, Springer-Verlag, Berlin, 2006. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce | |
| relation.isAuthorOfPublication | c5f952f6-669f-4e3d-abc8-76d6ac56119b | |
| relation.isAuthorOfPublication.latestForDiscovery | 2e3a1e05-10b8-4ea5-9fcc-b53bbb0168ce |
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