Luengo Velasco, Ignacio and Gusein-Zade, Sabir Medgidovich and Melle Hernández, Alejandro (2010) On generating series of classes of equivariant Hilbert schemes of fat points. Moscow Mathematical Journal , 10 (3). pp. 593-602. ISSN 1609-3321
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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.
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.
|Uncontrolled Keywords:||Hilbert schemes of zero-dimensional subschemes; Group actions, Generating series.|
|Subjects:||Sciences > Mathematics > Algebraic geometry|
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|Deposited On:||25 Sep 2012 08:47|
|Last Modified:||07 Feb 2014 09:30|
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