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 Normal scheme, a scheme whose local rings are normal domains Normal sequence (disambiguation), either a normal function or a representation...

In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...

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...

terminology, a coherent sheaf on an integral normal scheme is reflexive if and only if it is torsion-free and normal in the sense of Barth. A reflexive sheaf...

{\mathcal {O}}_{X}(D)} is the sheaf corresponding to a Weil divisor D (on a normal scheme). It need not be locally free, only reflexive. 4.  If D is a Q {\displaystyle...

singularities are not usually normal schemes (in the sense of the local rings being integrally closed). In algebraic geometry, normal crossing divisors are a...

A buffer stock scheme (commonly implemented as intervention storage, the "ever-normal granary") is a price stabilization scheme in which surplus commodities...

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 ]...

duality takes the same form for Gorenstein schemes as it does for smooth schemes. Let X be a normal scheme of finite type over a field k. Then X is regular...