Tautological classes on moduli spaces of curves with linear series and a push-forward formula when $ρ=0$
Abstract
Description
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.
26 pages, 4 figures. New version of math.AG/0608024 with applications
26 pages, 4 figures. New version of math.AG/0608024 with applications