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Abstract: We explore the concept of real tropical basis of an ideal in the field of real Puiseux series. We explicitly construct tropical bases of zero-dimensional real radical ideals, linear ideals and hypersurfaces coming from combinatorial patchworking. But we also show that there exist real radical ideals that do not admit a tropical basis. As an application, we show how to compute the set of singular points of a real tropical hypersurface, i.e. we compute the real tropical discriminant. © 2014, Universitat de Barcelona.
Fuente: Collectanea Mathematica, 2015, 66, 77?92
Publisher: Springer-Verlag Italia
Publication date: 01/01/2015
No. of pages: 16
Publication type: Article
DOI: 10.1007/s13348-014-0119-6
ISSN: 0010-0757,2038-4815
Spanish project: MTM2011-25816-C02-02
Publication Url: http://link.springer.com/article/10.1007%2Fs13348-014-0119-6
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LUIS FELIPE TABERA ALONSO
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