2005/03/29 by Zur Izhakian, Izhakian, Zur
Computer Science · Engineering · Mathematics · #05A10 #11T06 #12J25 #14H15 #14H20 #14M25 #14N10 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #math.CO #msc:05A10 #msc:11T06 #msc:12J25 #msc:14H15 #msc:14H20 #msc:14M25 #msc:14N10
paper · pdf · doi:10.48550/arxiv.math/0503691
31 pages, 4 figures
openalex publication_date 2005/03/29 · arxiv created 2005/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.