Relations in the tautological ring of $M_g$
Abstract
Using a simple geometric argument, we obtain an infinite family of nontrivial relations in the tautological ring of $M_g$ (and in fact that of $M_{g,2}$). One immediate consequence of these relations is that the classes $\kappa_1,...,\kappa_{[g/3]}$ generate the tautological ring of $M_g$, which has been conjectured by Faber, and recently proven at the level of {\em cohomology} by Morita.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2003
 DOI:
 10.48550/arXiv.math/0312100
 arXiv:
 arXiv:math/0312100
 Bibcode:
 2003math.....12100I
 Keywords:

 Algebraic Geometry
 EPrint:
 24 pages