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arXiv · 2105.12216

Riemann-Roch inequality for smooth tropical toric surfaces

Ken Sumi
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Abstract

For a divisor $D$ on a tropical variety $X$, we define two amounts in order to estimate the value of $h^{0}(X,D)$, which are described by terms of global sections and computed more easily than $h^{0}(X,D)$. As an application of its estimation, we show that a Riemann-Roch inequality holds for smooth tropical toric surfaces.

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Ken Sumi. 2021-05-25. Riemann-Roch inequality for smooth tropical toric surfaces. https://arxiv.org/abs/2105.12216

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