Timeline for Normal sheaf of non-reduced locally complete intersection space curves
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Dec 2, 2012 at 12:40 | comment | added | Naga Venkata | @Sasha: As far as I understand it arises from $i^∗(I_C/I_C^2) \to I_{C_r}/I_{C_r}^2$ and then taking the $Hom_{C_r}(−,\mathcal{O}_{C_r})$. This is a standard map while defining the tangent space to a flag Hilbert scheme. | |
| Nov 28, 2012 at 18:26 | comment | added | Sasha | That is my question. How do you construct such a morphism? | |
| Nov 28, 2012 at 14:35 | comment | added | Naga Venkata | @Sasha: The second map arises from the natural morphism: $N_{C_r|\mathbb{P}^3} \to i^*N_{C|\mathbb{P}^3}$ | |
| Nov 28, 2012 at 14:20 | history | edited | Naga Venkata | CC BY-SA 3.0 |
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| Nov 28, 2012 at 14:20 | comment | added | Naga Venkata | @Rossler: Sorry, I meant to write a local complete intersection curve. Will update the question. | |
| Nov 27, 2012 at 23:31 | comment | added | Damian Rössler | I don't understand why $N_{C/{\bf P}^3}$ is locally free in general, unless you always assume that $C$ is a Cartier divisor. | |
| Nov 27, 2012 at 18:38 | comment | added | Sasha | What is the second map? | |
| Nov 27, 2012 at 16:09 | history | edited | Naga Venkata | CC BY-SA 3.0 |
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| Nov 27, 2012 at 16:02 | history | asked | Naga Venkata | CC BY-SA 3.0 |