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

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

2005-08-07

arxiv.org/abs/math/0508132v2

Mathematics

Algebraic Geometry

Added a reference to a recent paper of K. Behrend. To appear in Communications in Analysis and Geometry. 19 pages

Scientific paper

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.

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