RT Journal Article
T1 Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points
A1 Gusein-Zade, Sabir Medgidovich
A1 Luengo Velasco, Ignacio
A1 Melle Hernández, Alejandro
AB The power structure over the Grothendieck (semi)ring of complex quasi-projective varieties constructed by the authors is used to express the generating series of classes of Hilbert schemes of zero-dimensional subschemes on a smooth quasi-projective variety as an exponent of that for the complex affine space of the same dimension. Specializations of this relation give formulae for generating series of such invariants of the Hilbert schemes of points as the Euler characteristic and the Hodge-Deligne polynomial.
PB Michigan Mathematical Journal
SN 0026-2285
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50122
UL https://hdl.handle.net/20.500.14352/50122
LA eng
NO The first author was partially supported by the grants RFBR-04-01-00762, NSh-1972.2003.1. The last two authors were partially supported by the grant BFM2001-1488-C02-01.
DS Docta Complutense
RD 16 dic 2025