Tropical conics for the layman

Details Tropical conics for the layman Tropical conics for the layman

2007-02-06

arxiv.org/abs/math/0702143v3

Mathematics

Algebraic Geometry

19 pages, 4 figures. Major rewriting of formerly entitled paper "Metric invariants of tropical conics and factorization of deg

Scientific paper

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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