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arXiv · 0704.1340

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

Deepak Khosla
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Abstract

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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Deepak Khosla. 2007-04-11. Tautological classes on moduli spaces of curves with linear series and a push-forward formula when $ρ=0$. https://arxiv.org/abs/0704.1340

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