English

Tautological pairings on moduli spaces of curves

Algebraic Geometry 2009-02-26 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0902.2447,
  title  = {Tautological pairings on moduli spaces of curves},
  author = {Renzo Cavalieri and Stephanie Yang},
  journal= {arXiv preprint arXiv:0902.2447},
  year   = {2009}
}