Timeline for Pull-back of line bundles under the normalization map.
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Dec 12, 2010 at 20:36 | comment | added | roy smith | and added another. | |
| Dec 12, 2010 at 20:35 | history | edited | roy smith | CC BY-SA 2.5 |
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| Dec 12, 2010 at 19:36 | comment | added | roy smith | You are right. I confused local and global sections. After realizing this I changed it to your example. | |
| Dec 12, 2010 at 19:36 | comment | added | jlk | Perhaps your example is an example where $\mathcal{L}$ and $f^{-1}(\mathcal{L})$ (inverse image sheaf; before tensoring with $\mathcal{O}_{C}$) have different spaces of global sections. | |
| Dec 12, 2010 at 19:33 | comment | added | jlk | Dear roy smith: I am a bit confused. In the notation of ginevra86, isn't $f^{*}(\mathcal{O}_{\Gamma}) = \mathcal{O}_{C}$. I think both $\mathcal{O}_{C}$ and $\mathcal{O}_{\Gamma}$ have a $1$-dimensional space of global sections, at least $\Gamma$ is irreducible. | |
| Dec 12, 2010 at 19:33 | history | undeleted | roy smith | ||
| Dec 12, 2010 at 19:33 | history | edited | roy smith | CC BY-SA 2.5 |
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| Dec 12, 2010 at 19:31 | history | deleted | roy smith | ||
| Dec 12, 2010 at 19:27 | history | answered | roy smith | CC BY-SA 2.5 |