Scheme (mathematics)

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 of its open sets, which arises from gluing together spectra (spaces of prime ideals) of commutative rings along their open subsets.

Read more about Scheme (mathematics):  History and Motivation, Modern Definitions of The Objects of Algebraic Geometry, Definitions, The Category of Schemes, Types of Schemes, OX Modules, Generalizations

Famous quotes containing the word scheme:

    Your scheme must be the framework of the universe; all other schemes will soon be ruins.
    Henry David Thoreau (1817–1862)