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

By L. Goettsche. 2000

95 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Biomedical Engineering

View Paper: https://www.semanticscholar.org/paper/5e2daabfa77e1809a7f0158a73ed3dcefeead79c

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In Applied Mathematics

In Atomic and Molecular Physics, and Optics

In Biomedical Engineering

Citations in the corpus

Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points (2004, methodology): “ariants of classes in the Grothendieck (semi)ring). It generalizes the one for surfaces derived in [8] from the computations of the motive of the Hilbert scheme of points on a surface by L. G¨ottsche [5]. Theorem 1 For a smooth quasi-projective variety X of dimension d, H X(t) = Hn Ad,0 (t) [X] . (2”
The Chow motive of semismall resolutions (2002, background): “The results we obtain refine Göttsche’s [14].”