Timeline for $\partial \bar{\partial}$ on a riemann surface
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 9, 2012 at 7:35 | vote | accept | william | ||
| Feb 9, 2012 at 7:35 | vote | accept | william | ||
| Feb 9, 2012 at 7:35 | |||||
| Feb 8, 2012 at 13:12 | comment | added | David E Speyer | Are you sure that's what you want to ask? It's highly nonlinear, for $n>1$. | |
| Feb 8, 2012 at 9:25 | history | edited | Johannes Ebert | CC BY-SA 3.0 |
edited body
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| Feb 8, 2012 at 6:26 | comment | added | william | this is somehow related to the inhomogeneous monge-ampere equation. | |
| Feb 8, 2012 at 6:25 | comment | added | william | what i mean is: if $\alpha$ is a smooth $(n,n)-$form on $M$ (where $M$ is a n-dimensional complex manifold and $R$ is a compact, n-dim, totally real submanifold) does there exists in a neighbourhood of $R$ a solution (smooth) $f$ to the equation $(\partial \bar{\partial} f)^{n} = \alpha$ ???? | |
| Feb 8, 2012 at 0:37 | comment | added | David E Speyer | Tiny correction: You want $0 \to \mathbb{R} \to \mathcal{O} \to \mathcal{H} \to 0$. Otherwise, very nice answer! | |
| Feb 7, 2012 at 23:09 | comment | added | william | is this true also in higher dimensions, when $M$ is n-dim. complex and $R$ is n-dim, compact, totally real??? | |
| Feb 7, 2012 at 22:12 | history | answered | Johannes Ebert | CC BY-SA 3.0 |