English

Completions, Reversals, and Duality for Tropical Varieties

Algebraic Geometry 2008-11-04 v3 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.0806.1175,
  title  = {Completions, Reversals, and Duality for Tropical Varieties},
  author = {Zur Izhakian and Louis Rowen},
  journal= {arXiv preprint arXiv:0806.1175},
  year   = {2008}
}

Comments

17 pages, 4 figures