Completions, Reversals, and Duality for Tropical Varieties
arXiv:0806.1175
Abstract
The algebraic foundation of tropical polynomial algebra provides the framework for the geometric construction of the supplement and the reversal of tropical varieties, thereby inducing a duality of reduced tropical varieties; for classes of tropical hypersurfaces the corresponding point symmetry is obtained for their Newton polytopes and lattice polytopes.
17 pages, 4 figures
References in corpus (4)
Cited by in corpus (9)
- Factorization of Tropical Matrices
- Complex tropical localization, coamoebas, and mirror tropical hypersurfaces
- Supertropical Monoids: Basics, Canonical Factorization, and Lifting Ghosts to Tangibles
- A Glimpse at Supertropical Valuation Theory
- Supertropical Matrix Algebra II: Solving tropical equations
- Supertropical matrix algebra
- Supertropical Polynomials and Resultants
- Hypergroups and hyperfields in universal algebra
- Semigroup identities in the monoid of two-by-two tropical matrices