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Tropical conics for the layman

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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
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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