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arXiv · alg-geom/9501010

On the tautological ring of $\M _g$

Eduard Looijenga
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Abstract

We prove among other things that any product of tautological classes of $\M_g$ of degree $d$ (in the Chow ring of $\M _g$ with rational coefficients) vanishes for $d>g-2$ and is proportional to the class of the hyperelliptic locus in degree $g-2$.

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Eduard Looijenga. 1995-01-20. On the tautological ring of $\M _g$. https://doi.org/10.1007/bf01884306

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