Duality of Tropical Curves

نویسنده

  • Zur Izhakian
چکیده

Duality of curves is an important aspect 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 an algebraic “mechanism”, based on “distortion” values, geometric and convexity properties are analyzed. Specifically, we discuss some significant aspects referring to quadrics with respect to their dual objects. This topic also includes the induced dual subdivision of the corresponding 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.

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تاریخ انتشار 2005