Limit linear series: combinatorial theory
Algebraic Geometry
2024-10-01 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.2209.15613,
title = {Limit linear series: combinatorial theory},
author = {Omid Amini and Lucas Gierczak},
journal= {arXiv preprint arXiv:2209.15613},
year = {2024}
}
Comments
46 pages, 19 figures ; major revisions