Sheaves, Schemes, and Projective Spaces
The topological space Spec A is by itself a rather coarse invariant of A, see Examples 1.5.3. Therefore, as the “right” geometric object corresponding to A, it is natural to take the pair (Spec A, Ã) consisting of the space Spec A and the set of elements of A considered, more or less adequately, as functions on Spec A, and so we did up to now.
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