Timeline for Why the notation $\mathcal{O}(\mathcal{L})$ for line bundles $\mathcal{L}$
Current License: CC BY-SA 3.0
4 events
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| Jan 26, 2012 at 14:02 | history | edited | B. Bischof | CC BY-SA 3.0 |
Edited slightly the title to make it a little more obvious.
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| Jan 26, 2012 at 9:13 | answer | added | diverietti | timeline score: 5 | |
| Jan 26, 2012 at 1:22 | comment | added | J.C. Ottem | It means the sheaf of sections of the line bundle $\mathcal{L}$. I guess the notation $\mathcal{O}(\mathcal{L})$ is just to remind you that the sheaf is an $\mathcal{O}$-module. Usually people don't distinguish much between line bundles and invertible sheaves on a complex manifold, which probably explains why this notation isn't as wellknown as $\mathcal{O}(D)$. | |
| Jan 26, 2012 at 1:07 | history | asked | AGBeginner | CC BY-SA 3.0 |