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arXiv · 2010.00894

Theta characteristics on tropical curves

Lucia Caporaso·Margarida Melo·Marco Pacini
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Abstract

We give an explicit description of theta-characteristics on tropical curves and characterize the effective ones. We construct the moduli space for tropical theta-characteristics of genus g as a generalized cone complex. We describe the fibers of the specialization map from the classical moduli space of theta-characteristics on algebraic curves to our moduli space of tropical theta-characteristics.

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Lucia Caporaso, Margarida Melo, Marco Pacini. 2020-10-02. Theta characteristics on tropical curves. https://arxiv.org/abs/2010.00894

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