Timeline for dualizing sheaf of a nodal curve
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 15, 2011 at 22:15 | vote | accept | HNuer | ||
| Mar 15, 2011 at 21:47 | comment | added | Donu Arapura | HNuer: It's a question of terminology. A dualizing sheaf is usually understood as the thing which satisfies Grothendieck-Serre duality. So your question is really: why does the thing defined in your second sentence behave (to some extent) ike a dualizing sheaf? | |
| Mar 15, 2011 at 21:22 | comment | added | HNuer | How does Serre duality imply this? In order to prove Serre Duality for a singular curve one first needs the dualizing sheaf, no? | |
| Mar 15, 2011 at 19:32 | comment | added | Emerton | Dear Scott, Yes, but my impression was that the OP wanted a direct proof, so to speak. Regards, Matt | |
| Mar 15, 2011 at 19:14 | answer | added | Emerton | timeline score: 27 | |
| Mar 15, 2011 at 19:04 | comment | added | S. Carnahan♦ | Doesn't Serre duality imply that group is dual to $H^0(C,\mathcal{O}_C)$? | |
| Mar 15, 2011 at 18:48 | history | asked | HNuer | CC BY-SA 2.5 |