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Jul 16, 2011 at 18:00 comment added Đức Anh Thank you. I'm reading this book and I try to do some exercises to be sure that I understand the theory. This question comes from the exercises of chapter 8, so that I didn't know the Riemann existence. Now i will continue my reading and will ask questions later :D Thanks for all your helps.
Jul 16, 2011 at 5:09 comment added Torsten Ekedahl BTW, the Riemann existence is in Forster (Cor. 14.13 in my edition).
Jul 15, 2011 at 23:56 comment added Đức Anh @ paul garret : Yes, i'm sorry. In Otto Forster's book, he has a convention that every Riemann surface is connected.
Jul 15, 2011 at 23:55 comment added Đức Anh Thank you very much for this information. I will search for this theorem.
Jul 15, 2011 at 23:51 comment added paul garrett Just to quibble, maybe it's best to talk about compact connected Riemann surfaces, to avoid silly falsities about details.
Jul 15, 2011 at 23:34 comment added Felipe Voloch Yes. That's the Riemann existence theorem, every compact Riemann surface is an algebraic curve over $\mathbb{C}$.
Jul 15, 2011 at 19:32 history asked Đức Anh CC BY-SA 3.0