Timeline for line bundles on smooth affine variety
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| May 9, 2011 at 4:17 | comment | added | Torsten Ekedahl | This is a standard argument (found in Hartshorne for instance): There is a section of $\mathcal O_X(D)$ which vanishes exactly at $D$ and hence gives a trivialisation of it in the complement. This (and its tensor powers) is the only line bundles killed and every line bundle on the complement extends to $X$. | |
| May 8, 2011 at 21:33 | comment | added | Henri | Dear Torsten Ekedahl, could you please explain why the Chern classes group of the affine variety $X \setminus D$ is of rank $r-1$, because I don't really get it... | |
| Apr 13, 2010 at 21:39 | history | answered | Torsten Ekedahl | CC BY-SA 2.5 |