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Tropical conics for the layman

M. Ansola·M. J. de la Puente
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Abstract

We present a simple and elementary procedure to sketch the tropical conic given by a degree--two homogeneous tropical polynomial. These conics are trees of a very particular kind. Given such a tree, we explain how to compute a defining polynomial. Finally, we characterize those degree--two tropical polynomials which are reducible and factorize them. We show that there exist irreducible degree--two tropical polynomials giving rise to pairs of tropical lines.

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M. Ansola, M. J. de la Puente. 2008-10-16. Tropical conics for the layman. https://arxiv.org/abs/math/0702143

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