There is an equivalence of categories under which an affine variety with its structure sheaf corresponds to the prime spectrum of the coordinate ring . In fact, the topological embedding gives rise to a lattice–preserving bijection11Those who are fans of topos theory will recognize this map as an isomorphism of topos. between the open sets of and of , and the sections of the structure sheaf on are isomorphic to the sections of the sheaf .
|Date of creation||2013-03-22 12:38:20|
|Last modified on||2013-03-22 12:38:20|
|Last modified by||djao (24)|