Timeline for A Non-quasi-affine scheme with quasi-affine irreducible components
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 1, 2018 at 14:12 | vote | accept | Neeraj Deshmukh | ||
| May 1, 2018 at 14:02 | answer | added | Jason Starr | timeline score: 6 | |
| May 1, 2018 at 13:32 | comment | added | Jason Starr | No, that is not true. Let $X_1$ and $X_2$ be isomorphic to the deleted affine plane $\mathbb{A}^2\setminus\{(0,0)\}$. For $i=1,2,$ let $L_i$ be a deleted affine line through the origin in $X_i$. Thus, both $L_1$ and $L_2$ are isomorphic to $\text{Spec}\ k[t,t^{-1}]$. Let $f:L_1\xrightarrow{\cong} L_2$ be an isomorphism that maps the origin to $\infty$. Glue $X_1$ and $X_2$ according to this isomorphism. Then every global section of the structure sheaf of $X$ restricts on $L_1=L_2$ as a constant. | |
| May 1, 2018 at 13:26 | history | asked | Neeraj Deshmukh | CC BY-SA 3.0 |