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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2009 Volume 267, Pages 132–137 (Mi tm2594)

Generating Series of Classes of Hilbert Schemes of Points on Orbifolds

S. M. Gusein-Zadea, I. Luengob, A. Melle-Hernándezb

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
b Departamento de Álgebra, Universidad Complutense de Madrid, Madrid, Spain

Abstract: The notion of power structure over the Grothendieck ring of complex quasi-projective varieties is used for describing generating series of classes of Hilbert schemes of zero-dimensional subschemes (“fat points”) on complex orbifolds.

UDC: 512.717

Received in March 2008


 English version:
Proceedings of the Steklov Institute of Mathematics, 2009, 267, 125–130

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