Limit linear series and tropical divisors on chains
Alberto L\'opez Mart\'in, Montserrat Teixidor i Bigas

TL;DR
This paper explores the relationship between limit linear series on chains of elliptic curves and tropical divisors on chains, providing combinatorial tools to compute invariants in Brill-Noether theory.
Contribution
It introduces effective limit linear series and compares algebraic and tropical models for analyzing linear series on chains.
Findings
Equivalence between algebraic and tropical models for limit linear series
Introduction of effective limit linear series
Computational methods for Brill-Noether invariants
Abstract
We describe the space of Eisenbud-Harris limit linear series on a chain of elliptic curves and compare it with the theory of divisors on tropical chains. Either model allows to compute some invariants of Brill-Noether theory using combinatorial methods. We introduce effective limit linear series.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Nonlinear Waves and Solitons
