Tropical Theta Functions and Riemann-Roch Inequality for Tropical Abelian Surfaces
Algebraic Geometry
2020-06-23 v4
Abstract
We show that the space of theta functions on tropical tori is identified with a convex polyhedron. We also show a Riemann-Roch inequality for tropical abelian surfaces by calculating the self-intersection numbers of divisors.
Cite
@article{arxiv.1809.10987,
title = {Tropical Theta Functions and Riemann-Roch Inequality for Tropical Abelian Surfaces},
author = {Ken Sumi},
journal= {arXiv preprint arXiv:1809.10987},
year = {2020}
}
Comments
23 pages, 5 figures. This paper has been accepted for publication in Mathematische Zeitschrift