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arXiv · 1303.6843

The final log canonical model of $\bar{M}_6$

Fabian Müller
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Abstract

We describe the birational model of $\bar{M}_6$ given by quadric hyperplane sections of the degree 5 del Pezzo surface. In the spirit of the genus 4 case treated by Fedorchuk, we show that it is the last non-trivial space in the log minimal model program for $\bar{M}_6$. We also obtain a new upper bound for the moving slope of the moduli space.

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Fabian Müller. 2013-03-27. The final log canonical model of $\bar{M}_6$. https://doi.org/10.2140/ant.2014.8.1113

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