On the tautological ring of M _g
classification
alg-geom
math.AG
keywords
degreeringtautologicalchowclassclassescoefficientshyperelliptic
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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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