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arXiv · 1012.5115

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

David Jensen
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Abstract

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.

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David Jensen. 2011-07-21. Rational Fibrations of $\bar{M}_{5,1}$ and $\bar{M}_{6,1}$. https://arxiv.org/abs/1012.5115

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