Timeline for Relation between $h^1(\mathcal{O}_X)$, $h^0(\Omega_X)$, and first betti number for general complex manifold?
Current License: CC BY-SA 3.0
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| Oct 19, 2016 at 16:14 | answer | added | S. Li | timeline score: 2 | |
| Oct 19, 2016 at 1:36 | answer | added | David E Speyer | timeline score: 5 | |
| Oct 18, 2016 at 14:57 | comment | added | R. van Dobben de Bruyn | Can you explain where the inequality you state for surfaces comes from? I don't see how to get this from the spectral sequence and closedness of global $1$-forms alone. If Hodge symmetry fails, couldn't you get things like $h^1(\mathcal O_X) = 0$ and $h^0(\Omega^1_X) = 1$ while the spectral sequence degenerates? | |
| Oct 18, 2016 at 14:27 | history | edited | S. Li | CC BY-SA 3.0 |
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| Oct 18, 2016 at 9:50 | answer | added | abx | timeline score: 3 | |
| Oct 18, 2016 at 8:44 | answer | added | Piotr Achinger | timeline score: 7 | |
| Oct 18, 2016 at 7:04 | answer | added | Ben McKay | timeline score: 6 | |
| Oct 18, 2016 at 3:45 | history | edited | Michael Albanese | CC BY-SA 3.0 |
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| Oct 18, 2016 at 3:00 | history | edited | S. Li | CC BY-SA 3.0 |
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| Oct 18, 2016 at 2:33 | history | asked | S. Li | CC BY-SA 3.0 |