Timeline for Serre type vanishing theorem of coherent sheaves on quasi-projective variety?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 29, 2010 at 4:25 | vote | accept | Fei YE | ||
| Apr 28, 2010 at 20:20 | comment | added | user2464 | See a definition in Hartshorn book page 153. | |
| Apr 28, 2010 at 20:14 | comment | added | Sasha | If you embed $A^2\setminus\{0\}$ into $P^2$, the restriction of $O(1)$ will be isomorphic to $O$, so it is ample. | |
| Apr 28, 2010 at 20:09 | comment | added | Fei YE | Thank you very much for the reply. But why the structure sheaf $\mathcal{O}_{\mathbf{A}^2\setminus \{0\}}$ is ample. What is the definition of ampleness in this setting? | |
| Apr 28, 2010 at 19:49 | history | answered | user2464 | CC BY-SA 2.5 |