Global Spec
There is a relative version of the functor Spec called global Spec, or relative Spec, and denoted by Spec. For a scheme Y, and a quasi-coherent sheaf of OY-algebras A, there is a unique scheme SpecA, and a morphism such that for every open affine, there is an isomorphism induced by f:, and such that for open affines, the inclusion induces the restriction map That is, as ring homomorphisms induce opposite maps of spectra, the restriction maps of a sheaf of algebras induce the inclusion maps of the spectra that make up the Spec of the sheaf.
Read more about this topic: Spectrum Of A Ring
Famous quotes related to global spec:
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