On the Euler numbers of certain moduli spaces of curves and points

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We determine the topological Euler number of certain moduli space of 1-dimensional closed subschemes in a smooth projective variety which admits a Zariski-locally trivial fibration with 1-dimensional fibers. The main approach is to use virtual Hodge polynomials and torus actions. The results might shed some light on the corresponding Donaldson-Thomas invariants.
Added a reference to a recent paper of K. Behrend. To appear in Communications in Analysis and Geometry. 19 pages

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Algebraic Geometry, 14C05

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http://salesiana.dossiersoluciones.com/handle/123456789/75988

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508132
 http://arxiv.org/abs/math/0508132

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arXiv