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arXiv · 2209.15613

Limit linear series: combinatorial theory

Omid Amini·Lucas Gierczak
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Abstract

We develop a purely combinatorial theory of limit linear series on metric graphs. This will be based on the formalisms of hypercube rank functions and slope structures. We provide a full classification of combinatorial limit linear series of rank one, and discuss connections to other concepts in tropical algebra and combinatorial algebraic geometry.

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Omid Amini, Lucas Gierczak. 2022-09-30. Limit linear series: combinatorial theory. https://arxiv.org/abs/2209.15613

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