Limit linear series: Combinatorial theory

doi:10.4171/jca/124

Limit linear series: Combinatorial theory

2026-02-01

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DOI：10.4171/jca/124

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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:

KODAIRA DIMENSION

TROPICAL CURVES

RIEMANN-ROCH

INDEPENDENCE

DECOMPOSITION

MORPHISMS

DIVISORS

SYSTEMS

Limit linear series: Combinatorial theory

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