Tropical conics for the layman

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dc.creatorAnsola, M.
dc.creatorde la Puente, M. J.
dc.date2007-02-06
dc.date2008-10-16
dc.date.accessioned2026-07-07T10:10:29Z
dc.date.available2026-07-07T10:10:29Z
dc.descriptionWe 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.
dc.description19 pages, 4 figures. Major rewriting of formerly entitled paper "Metric invariants of tropical conics and factorization of degree--two homogeneous tropical polynomials in three variables". To appear in Idempotent and tropical mathematics and problems of mathematical physics (vol. II), G. Litvinov, V. Maslov, S. Sergeev (eds.), Proceedings Workshop, Moscow, 2007
dc.identifierhttps://arxiv.org/abs/math/0702143
dc.identifierhttp://arxiv.org/abs/math/0702143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171614
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject05C05; 12K99
dc.titleTropical conics for the layman
dc.typetext

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