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

Published 28 Sep 2018 in math.AG | (1809.10987v4)

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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