Timeline for Semiorthogonal decompositions for Fano 3-folds and 4folds
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 29, 2012 at 17:26 | answer | added | Sasha | timeline score: 7 | |
| Aug 29, 2012 at 14:37 | history | edited | DannyBoy | CC BY-SA 3.0 |
added details on the kind of SOD I mean.
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| Aug 29, 2012 at 14:35 | comment | added | DannyBoy | Yes, you are right. I was assuming some non-triviality in order to exclude examples like yours. I will edit the question straight away. | |
| Aug 29, 2012 at 14:28 | comment | added | Chris Brav | So you might refine your question by asking not just for some semi-orthogonal decomposition, but a decomposition into indecomposable pieces. | |
| Aug 29, 2012 at 14:26 | comment | added | Chris Brav | For any Fano variety in characteristic zero, $\mathcal{O}_{X}$ is exceptional and so $< \mathcal{O}_{X}, \mathcal{O}_{X}^{\perp}>$ forms a semi-orthogonal decomposition. The question then becomes whether $\mathcal{O}_{X}^{\perp}$ decomposes any further, and sometimes it does. | |
| Aug 29, 2012 at 14:04 | history | edited | DannyBoy |
edited tags
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| Aug 29, 2012 at 13:49 | history | asked | DannyBoy | CC BY-SA 3.0 |