algebraic singularity

См. также в других словарях:

• Singularity — may refer to any of a variety of concepts.Mathematics:* Mathematical singularity, a point at which a given mathematical object is not definedIn complex analysis:* Essential singularity, a singularity near which a function exhibits extreme… …   Wikipedia

• Singularity theory — For other mathematical uses, see Mathematical singularity. For non mathematical uses, see Gravitational singularity. In mathematics, singularity theory is the study of the failure of manifold structure. A loop of string can serve as an example 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

• 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

• Mathematical singularity — In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point of an exceptional set where it fails to be well behaved in some particular way, such as differentiability. See Singularity theory… …   Wikipedia

• Singular point of an algebraic variety — In mathematics, a singular point of an algebraic variety V is a point P that is special (so, singular), in the geometric sense that V is not locally flat there. In the case of an algebraic curve, a plane curve that has a double point, such as the …   Wikipedia

• du Val singularity — In algebraic geometry, a du Val singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is a singularity of a surface that is a double cover branched over a curve with an A D E singularity. They are… …   Wikipedia

• Rational singularity — In mathematics, more particularly in the field of algebraic geometry, a scheme X has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map :f : Y ightarrow X from a… …   Wikipedia

• List of algebraic geometry topics — This is a list of algebraic geometry topics, by Wikipedia page. Contents 1 Classical topics in projective geometry 2 Algebraic curves 3 Algebraic surfaces 4 …   Wikipedia

• Butterfly curve (algebraic) — In mathematics, the algebraic butterfly curve is a plane algebraic curve of degree six, given by the equation :x^6 + y^6 = x^2. The butterfly curve has a single singularity with delta invariant three, which means it is a curve of genus seven. The …   Wikipedia

• Cusp (singularity) — An ordinary cusp on the curve x3–y2=0 In the mathematical theory of singularities a cusp is a type of singular point of a curve. Cusps are local singularities in that they are not formed by self intersection points of the curve. The plane curve… …   Wikipedia