distinguished open set (English, noun)
expansion: distinguished open set (plural distinguished open sets)
Senses:
topics: algebraic-geometry
geometry
mathematics
sciences
glosses: A particularly basic kind of set, generalizing the notion of the complement of a hypersurface, originating in the study of algebraic varieties but in modern mathematics also extending to the setting of affine schemes. Formally: (in the context of affine or projective varieties) the compliment of the zero locus of a polynomial in affine or projective space; (in scheme theory) the subset of prime ideals of a commutative ring which do not contain some element of the ring.
Forms:
form: distinguished open sets
tags: plural