English

On the tautological ring of $\bar{M}_{g,n}$

Algebraic Geometry 2007-05-23 v1

Abstract

We prove that the dimension 0 part of the tautological ring of the moduli space of stable pointed curves is one-dimensional. This provides the first genus-free evidence for a conjecture of Faber and Pandharipande that the tautological ring of the moduli space is Gorenstein, answering in the affirmative a question of Hain and Looijenga.

Keywords

Cite

@article{arxiv.math/0011100,
  title  = {On the tautological ring of $\bar{M}_{g,n}$},
  author = {T. Graber and R. Vakil},
  journal= {arXiv preprint arXiv:math/0011100},
  year   = {2007}
}

Comments

7 pages, 1 figure