In algebraic geometry, an algebraic variety or scheme X is normal if it is normal at every point, meaning that the local ring at the point is an integrally closed domain. An affine variety X (understood to be irreducible) is normal if and only if the ring O(X) of regular functions on X is an integrally closed domain. A variety X over a field is normal if and only if every finite birational morphism from any variety Y to X is an isomorphism.
Normal varieties were introduced by Zariski (1939, section III).
In algebraic geometry, an algebraic variety or scheme X is normal if it is normal at every point, meaning that the local ring at the point is an integrally...
integrally closed domains Normalscheme, a scheme whose local rings are normal domains Normal sequence (disambiguation), either a normal function or a representation...
singularities are not usually normalschemes (in the sense of the local rings being integrally closed). In algebraic geometry, normal crossing divisors are a...
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...
{\mathcal {O}}_{X}(D)} is the sheaf corresponding to a Weil divisor D (on a normalscheme). It need not be locally free, only reflexive. 4. If D is a Q {\displaystyle...
the normal cone of a subscheme of a scheme is a scheme analogous to the normal bundle or tubular neighborhood in differential geometry. The normal cone...
twisted cubic. The term "normal" refers to projective normality, not normalschemes. The intersection of the rational normal curve with an affine space...
duality takes the same form for Gorenstein schemes as it does for smooth schemes. Let X be a normalscheme of finite type over a field k. Then X is regular...
A buffer stock scheme (commonly implemented as intervention storage, the "ever-normal granary") is an attempt to use commodity storage for the purposes...
basic example is an integrally closed domain, i.e., a normal ring. For an example which is not normal, one can consider the non-integral ring Z [ x , y ]...
terminology, a coherent sheaf on an integral normalscheme is reflexive if and only if it is torsion-free and normal in the sense of Barth. A reflexive sheaf...
"normal" refers to projective normality (not normalschemes). A non-degenerate irreducible surface of degree m – 1 in Pm is either a rational normal scroll...
prenasalized stop [ⁿd] For many reasons, some airport codes do not fit the normalscheme described above. Some airports, for example, cross several municipalities...
geometry, integral closure is closely related with normalization and normalschemes. It is the first step in resolution of singularities since it gives...
Quetelet to define the average man as "an entire normalscheme"; that is, if one combines the normal curves of every measurable human characteristic,...
them were strong-willed, pious and comparatively indifferent to the normalscheme of material values. However, whereas Aurangzeb was a staunch Sunni,...
get special white plates and black numbering with "CD" prefix. The normalscheme comprises a one or two letters identification for the regencies, followed...
the existing scheme for an age-dependent limited time, after which they must transition to the 2015 scheme unless they reach the normal retirement age...
varieties. Further versions of Roitman's theorem are available for normalschemes. Actually, the most general formulations of Roitman's theorem (i.e....
Minister's Crop Insurance Scheme) was launched by Prime Minister of India Narendra Modi on 13 February 2016. Livestock Insurance Scheme in India provided "provide...
restriction of this action to H is trivial, then H is said to be normal, and the quotient scheme admits a natural group law. Representability holds in many...
microstates participate in the technical schemes: Andorra, Monaco, San Marino, and Vatican City. SEPA covers predominantly normal bank transfers. Payment methods...
particular, a scheme X is smooth over a field k if and only if the morphism X → Spec k is smooth. A smooth scheme over a field is regular and hence normal. In particular...
In programming, a file uniform resource identifier (URI) scheme is a specific format of URI, used to specifically identify a file on a host computer. While...
Global Information