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arXiv · 1311.0263

On the rationality of the moduli of higher spin curves in low genus

Letizia Pernigotti·Alessandro Verra
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Abstract

The global geometry of the moduli spaces of higher spin curves and their birational classification is largely unknown for g >= 2 and r > 2. Using quite related geometric constructions, we almost complete the picture of the known results in genus g <= 4 showing the rationality of the moduli spaces of even and odd 4-spin curves of genus 3, of odd spin curves of genus 4 and of 3-spin curves of genus 4.

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Letizia Pernigotti, Alessandro Verra. 2015-08-14. On the rationality of the moduli of higher spin curves in low genus. https://arxiv.org/abs/1311.0263

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