Timeline for Cohomology class of a current
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 11, 2012 at 16:27 | comment | added | diverietti | Indeed... Kähler is sufficient, not necessary! What Henri says is of course about the last part of my answer, that is about $(1,1)$-currents. A more general class of manifolds for which the $\partial\bar\partial$-lemma holds are the manifolds of the Fujiki class $(\mathcal C)$ , that is compact complex manifolds bimeromorphic to Kähler ones. | |
| Jan 11, 2012 at 15:46 | comment | added | Henri | The assumption to be Kähler is not necessary. Indeed, there are non-Kähler manifolds in which the dd-bar lemma holds (e.g. Moishezon manifolds), so that you can use the same arguments. | |
| Jan 11, 2012 at 15:41 | comment | added | alike | thanks so much. so the assumption to be Kahler is necessary. thank you very clear. | |
| Jan 11, 2012 at 15:40 | vote | accept | alike | ||
| Jan 11, 2012 at 15:32 | history | answered | diverietti | CC BY-SA 3.0 |