affine scheme

Hello, you have come here looking for the meaning of the word affine scheme. In DICTIOUS you will not only get to know all the dictionary meanings for the word affine scheme, but we will also tell you about its etymology, its characteristics and you will know how to say affine scheme in singular and plural. Everything you need to know about the word affine scheme you have here. The definition of the word affine scheme will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofaffine scheme, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.

English

Noun

affine scheme (plural affine schemes)

  1. (algebraic geometry) An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring.