The degree of a tropical root surface of type A
Copyright policy )The degree of a tropical root surface of type A
We prove that the tropical surface of the root system $A_{n-1}$ has degree $\frac{1}{2}n (n-1)(n-2)$.
9 pages, 1 figure
- Universidad de Los Andes Colombia
- University of Washington United States
- Stanford University United States
- Stanford University
- SAN FRANCISCO STATE UNIVERSITY
Geometric aspects of tropical varieties, Combinatorial aspects of algebraic geometry, tropical surface, degree, Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.), root polytope, Mathematics - Algebraic Geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), tropical geometry, FOS: Mathematics, Mathematics - Combinatorics, root system, Combinatorics (math.CO), Root systems, Algebraic Geometry (math.AG)
Geometric aspects of tropical varieties, Combinatorial aspects of algebraic geometry, tropical surface, degree, Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.), root polytope, Mathematics - Algebraic Geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), tropical geometry, FOS: Mathematics, Mathematics - Combinatorics, root system, Combinatorics (math.CO), Root systems, Algebraic Geometry (math.AG)
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