Timeline for Does a closed immersion of an affine scheme in a smooth scheme factor over an open affine subscheme?
Current License: CC BY-SA 3.0
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| May 11, 2011 at 21:57 | vote | accept | Timo Schürg | ||
| May 11, 2011 at 14:12 | comment | added | damiano | Note that it is quite natural to expect the answer to the question to be "no": a theorem of Goodman roughly asserts that the complement of an affine open subset can be blown up to become the support of an ample divisor. In particular, the complement of an affine open subset is "trying to meet" all subvarieties. On the other hand, your requirement is that you want one missing a particular one. Trying to play these facts against one another, allows you to find easily a counter-example. | |
| May 11, 2011 at 11:03 | history | answered | damiano | CC BY-SA 3.0 |