Luengo Velasco, IgnacioGusein-Zade, Sabir MedgidovichMelle Hernández, Alejandro2023-06-202023-06-202010-091609-3321https://hdl.handle.net/20.500.14352/42322The 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.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.engOn generating series of classes of equivariant Hilbert schemes of fat pointsjournal articlehttp://www.ams.org/distribution/mmj/vol10-3-2010/abst10-3-2010.htmlhttp://www.ams.org/distribution/mmj/restricted access512.7Hilbert schemes of zero-dimensional subschemesGroup actionsGenerating series.Geometria algebraica1201.01 GeometrÃa Algebraica