%0 Journal Article
%T On the tautological ring of $\M _g$
%A Eduard Looijenga
%J Mathematics
%D 1995
%I arXiv
%R 10.1007/BF01884306
%X 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 $g-2$.
%U http://arxiv.org/abs/alg-geom/9501010v1