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On independence of generators of the tautological rings

Research paper by D. Arcara, Y. -P. Lee

Indexed on: 03 Jun '07Published on: 03 Jun '07Published in: Mathematics - Algebraic Geometry



Abstract

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 $l \leq g-2$.