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arXiv · 1311.2211

On real tropical bases and real tropical discriminants

Luis Felipe Tabera
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Abstract

We explore the concept of real tropical basis of an ideal in the field of real Puiseux series. We show explicit 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.

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Luis Felipe Tabera. 2013-11-09. On real tropical bases and real tropical discriminants. https://arxiv.org/abs/1311.2211

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