On real tropical bases and real tropical discriminants

• Autores: Luis Felipe Tabera Alonso
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 1, 2015, págs. 77-92
• Idioma: inglés
• DOI: 10.1007/s13348-014-0119-6
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.