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arXiv · 2310.05345

Totally geodesic subvarieties of the moduli space of curves and linear systems

Frederik Benirschke
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Abstract

We construct a linear system on a general curve in a totally geodesic subvariety of the moduli space of curves. As a consequence, we obtain rank bounds for totally geodesic subvarieties of dimension at least two. Furthermore, we classify totally geodesic subvarieties of dimension at least two in strata with at most two zeros.

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Frederik Benirschke. 2023-10-09. Totally geodesic subvarieties of the moduli space of curves and linear systems. https://arxiv.org/abs/2310.05345

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