On the tautological ring of $\M _g$

Details On the tautological ring of $\M _g$ On the tautological ring of $\M _g$

1995-01-20

arxiv.org/abs/alg-geom/9501010v1

Mathematics

Algebraic Geometry

6 pages, amstex 2.1

Scientific paper

10.1007/BF01884306

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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