Intersection-theoretical computations on \Mgbar

Details Intersection-theoretical computations on \Mgbar Intersection-theoretical computations on \Mgbar

1995-04-06

arxiv.org/abs/alg-geom/9504005v1

Mathematics

Algebraic Geometry

13 pages, no figures. To appear in "Parameter Spaces", Banach Center Publications, volume in preparation. plain tex

Scientific paper

We determine necessary conditions for ample divisors in arbitrary genus as
well as for very ample divisors in genus 2 and 3. We also compute the
intersection numbers $\lambda^9$ and $\lambda_{g-1}^3$ in genus 4. The latter
number is relevant for counting curves of higher genus on manifolds, cf. the
recent work of Bershadsky et al.

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