Section 2.7.1 - Blowing Up
نویسنده
چکیده
Now we come to the generalised notion of blowing up. In (I, §4) we defined the blowing up of a variety with respect to a point. Now we will define the blowing up of a noetherian scheme with respect to any closed subscheme. Since a closed subscheme corresponds to a coherent sheaf of ideals, we may as well speak of blowing up a coherent sheaf of ideals. The necessary background for this section includes (MRS,Section 1.9), (MOS,Section 2) and (SSA,Section 6).
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