Definition of Algebraic curve. Meaning of Algebraic curve. Synonyms of Algebraic curve

Here you will find one or more explanations in English for the word Algebraic curve. Also in the bottom left of the page several parts of wikipedia pages related to the word Algebraic curve and, of course, Algebraic curve synonyms and on the right images related to the word Algebraic curve.

Definition of Algebraic curve

Algebraic curve
Algebraic Al`ge*bra"ic, Algebraical Al`ge*bra"ic*al, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings. Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve.

Meaning of Algebraic curve from wikipedia

- an algebraic set of dimension one is also called an algebraic curve, but this will not be the case in this article.) Equivalently, an algebraic curve is...
- space and skew curves apply also to real algebraic curves, although the above definition of a curve does not apply (a real algebraic curve may be disconnected)...
- In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism...
- Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. classically, an algebraic variety is defined as...
- (genus 3) Bring's curve (genus 4) Macbeath surface (genus 7) Butterfly curve (algebraic) (genus 7) Polynomial lemniscate Fermat curve Sinusoidal spiral...
- Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...
- gonality of an algebraic curve C is defined as the lowest degree of a nonconstant rational map from C to the projective line. In more algebraic terms, if C...
- mathematics, real algebraic geometry is the sub-branch of algebraic geometry studying real algebraic sets, i.e. real-number solutions to algebraic equations with...
- In algebraic geometry, divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common...
- mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over...