English

Theta characteristics on tropical curves

Algebraic Geometry 2020-10-05 v1

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.

Cite

@article{arxiv.2010.00894,
  title  = {Theta characteristics on tropical curves},
  author = {Lucia Caporaso and Margarida Melo and Marco Pacini},
  journal= {arXiv preprint arXiv:2010.00894},
  year   = {2020}
}
R2 v1 2026-06-23T18:57:48.591Z