algebraic curve


Also found in: Dictionary, Wikipedia.

algebraic curve

[¦al·jə¦brā·ik ′kərv]
(mathematics)
The set of points in the plane satisfying a polynomial equation in two variables.
More generally, the set of points in n-space satisfying a polynomial equation in n variables.
References in periodicals archive ?
As an intermediate step towards the third result, we also show that for a fixed family of plane algebraic curves with s degrees of freedom, every set of n points in the plane has a subset of [OMEGA]([n.
Via the correspondence between algebraic curves and floor diagrams [BM09, Theorem 2.
5) we first look for the branch of the algebraic curve [[PSI].
The investigation of an algebraic curve of the type exemplified in equation (1) has several potential uses:
For any irreducible plane algebraic curve A [subset] [P.
Consider an algebraic curve (a real surface) [summation] whose equation in [C.
van Kampen, On the fundamental group of an algebraic curve, Amer.
Ten survey articles reflect invited lectures at the workshops Algebraic Curves Over Finite Fields, held in November 2013, and Emerging Applications of Finite Fields, held in December 2013.
One particularly nice way of studying general parametric cubics can be found in [3] which treats them as general algebraic curves, determines their properties, and then specializes the results to the family of general parametric cubics.
Other topics include counting algebraic curves with tropical geometry, block triangular bilinear forms and braid group action, the topicalization method in cluster algebras, and an application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair.
HARIS, Real algebraic curves, Annales scientifiques de l'ENS, 4 eme sErie, tome 14, no.

Full browser ?