Constructions of nontautological classes on moduli spaces of curves

Details Constructions of nontautological classes on moduli spaces of curves Constructions of nontautological classes on moduli spaces of curves

2001-04-04

arxiv.org/abs/math/0104057v2

Mathematics

Algebraic Geometry

This supersedes our earlier preprint, "A non-tautological algebraic class on $\bar{M}_{2,22}$." This version gives more genera

Scientific paper

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.

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