Theta characteristics on tropical curves
Lucia Caporaso, Margarida Melo, Marco Pacini
TL;DR
This paper provides an explicit description of theta-characteristics on tropical curves, characterizes effective ones, and constructs a moduli space, linking classical and tropical settings.
Contribution
It introduces a detailed description of tropical theta-characteristics, constructs their moduli space as a generalized cone complex, and relates it to classical moduli spaces.
Findings
Explicit description of tropical theta-characteristics
Construction of the moduli space as a generalized cone complex
Description of fibers of the specialization map
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Commutative Algebra and Its Applications