An application of Groebner bases to planarity of intersection of surfaces

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In this paper we use Groebner bases theory in order to determine planarity of intersections of two algebraic surfaces in ${\bf R}^3$. We specially considered plane sections of certain type of conoid which has a cubic egg curve as one of the directrices. The paper investigates a possibility of conic plane sections of this type of conoid.

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Commutative Algebra, Metric Geometry, 14N05; 51N35

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http://salesiana.dossiersoluciones.com/handle/123456789/229126

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.1862
 http://arxiv.org/abs/0901.1862

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arXiv