Scheme (mathematics)

In mathematics, a scheme is an important concept connecting the fields of algebraic geometry, commutative algebra and number theory. Schemes were introduced by Alexander Grothendieck so as to broaden the notion of algebraic variety; some consider schemes to be the basic object of study of modern algebraic geometry. Technically, a scheme is a topological space together with commutative rings for all its open sets, which arises from "gluing together" spectra (spaces of prime ideals) of commutative rings.

Related Topics:
Mathematics - Algebraic geometry - Commutative algebra - Number theory - Alexander Grothendieck - Algebraic variety - Topological space - Commutative ring - Spectra - Prime ideals

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