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On the tautological ring of $\M _g$

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 $g-2$.

preprint1995arXivOpen access
Eduard Looijenga
alg-geommath.AG
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Eduard Looijenga

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