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Mar 30, 2013 at 23:34 vote accept Italo
Mar 30, 2013 at 20:36 history edited Robert Bryant CC BY-SA 3.0
added requested explanation
Mar 30, 2013 at 17:35 comment added Italo @Robert: Thank you very much for the answer! I have a question, how can i prove that $f=h_{+}+\overline{h_{-}}$ with $h_{\pm}$ holomorphic if $\partial\overline{\partial}f=0$? Is it a well known fact that i don't know? If yes is there a reference?
Mar 30, 2013 at 13:54 comment added Robert Bryant @John: ...and Hartogs' theorem, too!
Mar 30, 2013 at 13:40 comment added John Jiang This is a nice problem to learn about Hartog's theorem!
Mar 30, 2013 at 13:39 history edited Robert Bryant CC BY-SA 3.0
fixed some typos, added a reference
Mar 30, 2013 at 13:33 history answered Robert Bryant CC BY-SA 3.0