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arXiv · 1201.6401

Effective Results on non-Archimedean Tropical Discriminants

Korben Rusek
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Abstract

We study A-discriminants from a non-Archimedean point of view, refining earlier work on the tropical discriminant. In particular, we study the case where $A$ is a collection of n+m+1 points in Z^n in general position, and give an algorithm to compute the image of the A-discriminant variety under the non-Archimedean evaluation map. When m=2, our approach yields tight lower and upper bounds, of order quadratic in n. We also detail a Sage package for plotting certain p-adic discriminant amoebae, and present explicit examples of point sets yielding discriminant amoebae with extremal behavior.

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Korben Rusek. 2012-08-28. Effective Results on non-Archimedean Tropical Discriminants. https://arxiv.org/abs/1201.6401

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