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The degree of a tropical root surface of type A

Federico Ardila-Mantilla and Mont Cordero Aguilar
Vol. 2 (2025), No. 1, 33–42
DOI: 10.2140/om.2024.1.243
Abstract

We prove that the tropical surface of the root system An−1 has degree 1 2n(n − 1)(n − 2).

Keywords
degree, root polytope, root system, tropical surface
Mathematical Subject Classification
Primary: 05E14, 14T15, 17B22, 52B05, 52B20
Milestones
Received: 9 October 2023
Revised: 1 March 2024
Accepted: 11 April 2024
Published: 22 June 2024
Authors
Federico Ardila-Mantilla
Department of Mathematics
San Francisco State University
San Francisco, CA
United States		 Departamento de Matemáticas
Universidad de Los Andes
Bogotá
Colombia
Mont Cordero Aguilar
Department of Mathematics
University of Washington
Seattle, WA
United States
© 2025 MSP (Mathematical Sciences Publishers).