Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians

Details Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians

1997-06-17

arxiv.org/abs/alg-geom/9706006v2

Mathematics

Algebraic Geometry

Minor changes, references added. To appear in: Proceedings of the Euroconference on Algebraic Geometry, Warwick 1996 (Cambridg

Scientific paper

We describe algorithms for computing the intersection numbers of divisors and of Chern classes of the Hodge bundle on the moduli spaces of stable pointed curves. We also discuss the implementations and the results obtained. There are several applications. We discuss one in particular: the calculation of the projection in the tautological ring of the moduli space of abelian varieties of the class of the locus of Jacobians.

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