On independence of generators of the tautological rings

Details On independence of generators of the tautological rings On independence of generators of the tautological rings

2006-05-17

arxiv.org/abs/math/0605488v2

Mathematics

Algebraic Geometry

Scientific paper

We prove that all monomials of $\kappa$-classes and $\psi$-classes are
independent in $R^k(\ocM_{g,n})/R^k(\partial\ocM_{g,n})$ for all $k \leq
[g/3]$. We also give a simple argument for $\kappa_l \neq 0$ in
$R^l(\mathcal{M}_g)$ for $l \leq g-2$.

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