On the motive of the Hilbert scheme of points on a surface

Details On the motive of the Hilbert scheme of points on a surface On the motive of the Hilbert scheme of points on a surface

2000-07-07

arxiv.org/abs/math/0007043v3

Mathematics

Algebraic Geometry

15 pages, Latex. The paper is the same as yesterdays revised version. Only these comments are corrected. The first version of

Scientific paper

We determine the class of the Hilbert scheme of points on a surface in the
Grothendieck group of varieties. As a corollary we obtain its class in the
Grothendieck group of motives. We give some applications to moduli spaces of
sheaves on surfaces. The paper is related to math/0005249 of de Cataldo and
Migliorini.

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