Limit linear series: combinatorial theory

2022/09/30 by Omid Amini, Amini, Omid, Lucas Gierczak +1 · 2 citations
Computer Science · #Graph Labeling and Dimension Problems #Polynomial and algebraic computation #Data Management and Algorithms

paper · pdf · doi:10.48550/arxiv.2209.15613

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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