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Ansola, M. and Puente Muñoz, María Jesús de la
(2009)
*Tropical conics for the layman.*
In
Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V.Poncelet.
Contemporary Mathematics
(495).
American Mathematical Society, Providence, RI, pp. 87-101.
ISBN 978-0-8218-4782-4

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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.

Item Type: | Book Section |
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Additional Information: | International Workshop Tropical-07 (2007 : Moscow, Russia) |

Uncontrolled Keywords: | Tropical conics, factorization of tropical polynomials, tropically singular matrix. |

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 17541 |

Deposited On: | 21 Dec 2012 11:23 |

Last Modified: | 10 Aug 2018 09:42 |

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