Tropical Theta Functions and Riemann-Roch Inequality for Tropical Abelian Surfaces

Ken Sumi

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arXiv · 1809.10987

Tropical Theta Functions and Riemann-Roch Inequality for Tropical Abelian Surfaces

Ken Sumi

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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.

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Ken Sumi. 2018-09-28. Tropical Theta Functions and Riemann-Roch Inequality for Tropical Abelian Surfaces. https://arxiv.org/abs/1809.10987

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