Tautological classes on moduli spaces of curves with linear series and a push-forward formula when $ρ=0$

Details Tautological classes on moduli spaces of curves with linear series and a push-forward formula when $ρ=0$ Tautological classes on moduli spaces of curves with linear series and a push-forward formula when $ρ=0$

2007-04-11

arxiv.org/abs/0704.1340v1

Mathematics

Algebraic Geometry

26 pages, 4 figures. New version of math.AG/0608024 with applications

Scientific paper

We define tautological Chow classes on the moduli space of curves with linear
series. In the case where the forgetful morphism to the moduli space of curves
has relative dimension zero, we describe the images of these classes in the
Chow group of Mgbar. As an application, we compute the (virtual) slopes of
several different classes of divisors on Mgbar.

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