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distinguished open set. In DICTIOUS you will not only get to know all the dictionary meanings for the word
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English
Noun
distinguished open set (plural distinguished open sets)
- (algebraic geometry) 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.