algebraic curve

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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 ?
1 General position with respect to algebraic curves
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.
Conics and Cubics: A Concrete Introduction to Algebraic Curves, Springer, 2006.
Some remarks on number of rational points of algebraic curves over finite fields.
To enumerate algebraic curves with floor diagrams we need the notion of markings of such diagrams.
DEMMEL, Algorithms for intersecting parametric and algebraic curves I.
Teichmuller modular forms (of degree g) are introduced in [Ic2] as global sections of automorphic line bundles on the moduli space of algebraic curves (of genus g).
His success depended on finding connections between number theory and algebraic curves.
Research: To study the geometry of the moduli space of algebraic curves by incorporating equivalent cohomology, deformation theory of maps, and algebraic cycle theory.
Arakelov, Families of algebraic curves with fixed degeneracies, Math.
There are many interesting loci--besides well known conics also algebraic curves of higher degree such as cubics, quartics etc.
Non-special divisors on real algebraic curves and embeddings into real projective spaces.

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