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arXiv:math/0104057 [math.AG]AbstractReferencesReviewsResources

Constructions of nontautological classes on moduli spaces of curves

T. Graber, R. Pandharipande

Published 2001-04-04, updated 2003-02-01Version 2

We construct explicit examples of algebraic cycles in \bar M_g (for large g congruent to 2 mod 4) and in M_2,20 (no bar) which are not in the tautological ring. In an appendix we give a general method for computing intersections in the tautological ring.

Comments: This supersedes our earlier preprint, "A non-tautological algebraic class on $\bar{M}_{2,22}$." This version gives more general constructions of nontautological classes on various moduli spaces of pointed curves
Categories: math.AG
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