English

Rational Fibrations of $\bar{M}_{5,1}$ and $\bar{M}_{6,1}$

Algebraic Geometry 2011-07-22 v2

Abstract

This is the second of two papers on the birational geometry of Mˉg,1\bar{M}_{g,1}. We construct rational maps from Mˉ5,1\bar{M}_{5,1} and Mˉ6,1\bar{M}_{6,1} to lower-dimensional moduli spaces. As a consequence, we identify geometric divisors that generate extremal rays of the effective cones for these spaces.

Keywords

Cite

@article{arxiv.1012.5115,
  title  = {Rational Fibrations of $\bar{M}_{5,1}$ and $\bar{M}_{6,1}$},
  author = {David Jensen},
  journal= {arXiv preprint arXiv:1012.5115},
  year   = {2011}
}