Timeline for Affine Paved Affine Varieties; not Affine Space
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 23, 2018 at 12:30 | history | edited | Sean Lawton | CC BY-SA 3.0 |
deleted 45 characters in body
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| Mar 15, 2018 at 14:10 | comment | added | Qfwfq | (Just deleted my answer: I didn't read carefully: you're looking for affine varieties that are affinely paved) | |
| Mar 14, 2018 at 23:43 | vote | accept | Sean Lawton | ||
| Mar 14, 2018 at 22:45 | answer | added | David E Speyer | timeline score: 16 | |
| Mar 14, 2018 at 22:38 | comment | added | David E Speyer | @dhy This is wrong. That shows that $\mathbb{A}^n$ can not be a principal open, but it can be the complement of a nonprincipal hypersurface. I'll put up an example shortly. | |
| Mar 14, 2018 at 21:44 | comment | added | dhy | Any affine variety containing $\mathbb{A}^n$ as an open subset must be $\mathbb{A}^n$ itself. An affine open embedding corresponds to a localization at the level of rings, but there are no non-constant invertible functions in $k[x_1,\cdots,x_n]$. | |
| Mar 14, 2018 at 21:22 | comment | added | YCor | what do you call "non-trivial"? | |
| Mar 14, 2018 at 21:08 | history | asked | Sean Lawton | CC BY-SA 3.0 |