Generic tropical varieties
| Autor(en): | Roemer, Tim Schmitz, Kirsten |
Stichwörter: | GEOMETRY; Mathematics; Mathematics, Applied | Erscheinungsdatum: | 2012 | Herausgeber: | ELSEVIER | Journal: | JOURNAL OF PURE AND APPLIED ALGEBRA | Volumen: | 216 | Ausgabe: | 1 | Startseite: | 140 | Seitenende: | 148 | Zusammenfassung: | We show that in the constant coefficient case the generic tropical variety of a graded ideal exists. This can be seen as an analogue to the existence of the generic initial ideal in Grobner basis theory. We determine the generic tropical variety as a set in general and as a fan for principal ideals and linear ideals. (C) 2011 Elsevier B.V. All rights reserved. |
ISSN: | 00224049 | DOI: | 10.1016/j.jpaa.2011.05.012 |
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