projective cubic

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• Cubic plane curve — A selection of cubic curves. See information page for details. Cubic curve redirects here. For information on polynomial functions of degree 3, see Cubic function. In mathematics, a cubic plane curve is a plane algebraic curve C defined by a… …   Wikipedia

• Cubic surface — A cubic surface is a projective variety studied in algebraic geometry. It is an algebraic surface in three dimensional projective space defined by a single polynomial which is homogeneous of degree 3 (hence, cubic). Cubic surfaces are del Pezzo… …   Wikipedia

• Projective line — In mathematics, a projective line is a one dimensional projective space. The projective line over a field K , denoted P1( K ), may be defined as the set of one dimensional subspaces of the two dimensional vector space K 2 (it does carry other… …   Wikipedia

• Cubic — Cubical redirects here. For the partition, see cubicle. Contents 1 Science and mathematics 2 Computing 3 Media …   Wikipedia

• Cubic threefold — In algebraic geometry, a cubic threefold is a hypersurface of degree 3 in 4 dimensional projective space. Cubic threefolds are all unirational, but Clemens Griffiths (1972) used intermediate Jacobians to show that non singular cubic threefolds… …   Wikipedia

• Twisted cubic — In mathematics, a twisted cubic is a smooth, rational curve C of degree three in projective 3 space mathbb{P}^3. It is a fundamental example of a skew curve. It is essentially unique, up to projective transformation ( the twisted cubic,… …   Wikipedia

• Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… …   Wikipedia

• Del Pezzo surface — In mathematics, a del Pezzo surface or Fano surface is a two dimensional Fano variety, in other words a non singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general… …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Rational surface — In algebraic geometry, a branch of mathematics, a rational surface is a surface birationally equivalent to the projective plane, or in other words a rational variety of dimension two. Rational surfaces are the simplest of the 10 or so classes of… …   Wikipedia

• Algebraic curve — In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… …   Wikipedia