An application of Groebner bases to planarity of intersection of surfaces

Details An application of Groebner bases to planarity of intersection of surfaces An application of Groebner bases to planarity of intersection of surfaces

2009-01-13

arxiv.org/abs/0901.1862v4

Mathematics

Commutative Algebra

Scientific paper

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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