Tropical linear maps on the plane
M.J. de la Puente
TL;DR
This paper provides a complete characterization of tropical linear maps on the tropical projective plane, detailing how these maps operate and correcting previous errors in the main results.
Contribution
It offers a full description of all tropical linear maps on the plane, including corrections to earlier inaccuracies.
Findings
Complete classification of tropical linear maps on the plane
Identification and correction of previous mistakes
Clarification of the structure of tropical linear mappings
Abstract
In this paper we fully describe all tropical linear mappings in the tropical projective plane, that is, maps from the tropical plane to itself given by tropical multiplication by an order 3 matrix. An erratum has been added fixing two mistakes in the main paper.
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Taxonomy
TopicsPolynomial and algebraic computation · Algebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems