论文标题

极限线性系列:组合理论

Limit linear series: combinatorial theory

论文作者

Amini, Omid, Gierczak, Lucas

论文摘要

我们在度量图上开发了极限线性序列的纯粹组合理论。这将基于超立方体等级函数和斜率结构的形式主义。我们提供了组合一级线性序列的完整分类,并讨论与热带代数和组合代数几何形状中其他概念的联系。

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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