RT Journal Article T1 On generating series of classes of equivariant Hilbert schemes of fat points A1 Luengo Velasco, Ignacio A1 Gusein-Zade, Sabir Medgidovich A1 Melle Hernández, Alejandro AB 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. PB Independent University of Moscow SN 1609-3321 YR 2010 FD 2010-09 LK https://hdl.handle.net/20.500.14352/42322 UL https://hdl.handle.net/20.500.14352/42322 LA eng NO 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. DS Docta Complutense RD 9 abr 2025