Timeline for If Spec(A) has a G-fixed point and a dense G-orbit, is Spec(A) a cone?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 1, 2011 at 4:30 | comment | added | Torsten Ekedahl | Right, note that the generators do indeed fail to line up. I got my example by drawing a cone on squared paper, should have widened the cone to get your simpler example... | |
| Mar 31, 2011 at 19:24 | vote | accept | Anton Geraschenko | ||
| Mar 31, 2011 at 19:24 | comment | added | Anton Geraschenko | Wonderful example! The $A_2$, singularity $Spec(k[a,b,c]/(ab=c^3))=Spec(k[xy^2,xy,x^2y])$ seems to work as well, and is slightly less complex. | |
| Mar 31, 2011 at 9:20 | history | edited | Torsten Ekedahl | CC BY-SA 2.5 |
Added response to modified question; added 3 characters in body; deleted 1 characters in body; added 46 characters in body
|
| Mar 31, 2011 at 8:54 | history | edited | Torsten Ekedahl | CC BY-SA 2.5 |
deleted 1 characters in body
|
| Mar 31, 2011 at 8:26 | comment | added | Anton Geraschenko | Very nice. Thank you. You probably meant $t\cdot z=t^6z$ so that the ideal is fixed. I feel bad for switching the question on you, but I hope you don't mind if I edit the question to impose the condition that $Spec(A)$ contain a dense open $G$-orbit. | |
| Mar 31, 2011 at 7:49 | history | answered | Torsten Ekedahl | CC BY-SA 2.5 |