Tautological pairings on moduli spaces of curves

Details Tautological pairings on moduli spaces of curves Tautological pairings on moduli spaces of curves

2009-02-14

arxiv.org/abs/0902.2447v2

Mathematics

Algebraic Geometry

Scientific paper

We discuss analogs of Faber's conjecture for two nested sequences of partial
compactifications of the moduli space of smooth curves. We show that their
tautological rings are one-dimensional in top degree but do not satisfy
Poincare duality.

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