Timeline for open but not affine subscheme?example?
Current License: CC BY-SA 2.5
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| Feb 3, 2011 at 22:14 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
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| Nov 27, 2010 at 0:17 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
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| Nov 26, 2010 at 22:14 | comment | added | roy smith | To unknown: the point is the nullstellensatz holds for affine sets, i.e. over the complex field say, points of the set correspond to maximal ideals. so if you remove points but don't change the ring of functions, the set is no longer affine. But a rational function on a good (S2) space, has poles in codimension one, so if you remove a smaller set, you cannot acquire any new regular functions. I.e. if f is regular on X-Z where Z is too small to support a pole, then f is regular on X. | |
| Nov 26, 2010 at 18:15 | history | answered | Sándor Kovács | CC BY-SA 2.5 |