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Tropical conics for the layman

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dc.book.titleTropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V.Poncelet
dc.contributor.authorAnsola, M.
dc.contributor.authorPuente Muñoz, María Jesús De La
dc.contributor.editorLitvinov, G. L.
dc.date.accessioned2023-06-20T05:44:39Z
dc.date.available2023-06-20T05:44:39Z
dc.date.issued2009
dc.descriptionInternational Workshop Tropical-07 (2007 : Moscow, Russia)
dc.description.abstractWe 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.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMTM
dc.description.sponsorshipUCM
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17541
dc.identifier.doihttp://arxiv.org/abs/math/0702143
dc.identifier.isbn978-0-8218-4782-4
dc.identifier.issn0271-4132
dc.identifier.relatedurlhttp://arxiv.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45378
dc.issue.number495
dc.journal.titleTropical and idempotent mathematics
dc.language.isoeng
dc.page.final101
dc.page.initial87
dc.page.total382
dc.publication.placeProvidence, RI
dc.publisherAmerican Mathematical Society
dc.relation.ispartofseriesContemporary Mathematics
dc.relation.projectID2005–02865
dc.relation.projectID910444.
dc.rights.accessRightsopen access
dc.subject.cdu515.1
dc.subject.keywordTropical conics
dc.subject.keywordfactorization of tropical polynomials
dc.subject.keywordtropically singular matrix.
dc.subject.ucmTopología
dc.subject.unesco1210 Topología
dc.titleTropical conics for the layman
dc.typebook part
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