Congruences and coordinate semirings of tropical varieties
Algebraic Geometry
2014-08-12 v1 Commutative Algebra
Rings and Algebras
Abstract
In this paper we present two intrinsic algebraic definitions of tropical variety motivated by the classical Zariski correspondence, one utilizing the algebraic structure of the coordinate semiring of an affine supertropical algebraic set, and the second based on the layered structure. We tie them to tropical geometry, especially in connection with the dimension of an affine variety.
Keywords
Cite
@article{arxiv.1408.2428,
title = {Congruences and coordinate semirings of tropical varieties},
author = {Zur Izhakian and Louis Rowen},
journal= {arXiv preprint arXiv:1408.2428},
year = {2014}
}
Comments
19 pages, 4 figures