Effective Results on non-Archimedean Tropical Discriminants
| Autor: | Rusek, Korben |
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| Rok vydání: | 2012 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 14 pages |
| Databáze: | arXiv |
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