Duality of Tropical Curves
Algebraic Geometry
2007-05-23 v2 Combinatorics
Abstract
Duality of curves is one of the important aspects of the ``classical'' algebraic geometry. In this paper, using this foundation, the duality of tropical polynomials is constructed to introduce the duality of Non-Archimedean curves. Using the development of ``mechanism'' which is based on ``distortion'' values and their matrices, we discuss some aspects refereing to quadrics with respect to their dual objects. This topic includes also the induced dual subdivision of Newton Polytope and its compatible properties. Finally, a regularity of tropical curves in the duality sense is generally defined and, studied for families of tropical quadrics.
Keywords
Cite
@article{arxiv.math/0503691,
title = {Duality of Tropical Curves},
author = {Zur Izhakian},
journal= {arXiv preprint arXiv:math/0503691},
year = {2007}
}
Comments
31 pages, 4 figures