Riemann-Roch inequality for smooth tropical toric surfaces

Published 25 May 2021 in math.AG | (2105.12216v2)

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

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