%0 Journal Article %T Rational Fibrations of $\bar{M}_{5,1}$ and $\bar{M}_{6,1}$ %A David Jensen %J Mathematics %D 2010 %I arXiv %X This is the second of two papers on the birational geometry of $\bar{M}_{g,1}$. We construct rational maps from $\bar{M}_{5,1}$ and $\bar{M}_{6,1}$ to lower-dimensional moduli spaces. As a consequence, we identify geometric divisors that generate extremal rays of the effective cones for these spaces. %U http://arxiv.org/abs/1012.5115v2