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arXiv · 1712.08695

Sheaves and Duality in the Two-Vertex Graph Riemann-Roch Theorem

Nicolas Folinsbee·Joel Friedman
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Abstract

For each graph on two vertices, and each divisor on the graph in the sense of Baker-Norine, we describe a sheaf of vector spaces on a finite category whose zeroth Betti number is the Baker-Norine "Graph Riemann-Roch" rank of the divisor plus one. We prove duality theorems that generalize the Baker-Norine "Graph Riemann-Roch" Theorem.

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Nicolas Folinsbee, Joel Friedman. 2022-07-26. Sheaves and Duality in the Two-Vertex Graph Riemann-Roch Theorem. https://arxiv.org/abs/1712.08695

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