Sketch of proof of Uniformization Theorem

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Can somebody give me the sketch of the proof of the uniformization theorem, given that every compact Riemann surface admits a non-constant meromorphic function. (I am not so sure these two are indeed related or not.)



I just want to know how the story goes on.







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  • Here's a similar question on MO: mathoverflow.net/questions/10516/…
    – Hans Lundmark
    Aug 20 at 14:02











  • Actually I already read the answers on the link, but I want some more details, the overall outline of the proof.
    – Mike Park
    Aug 22 at 4:06














up vote
0
down vote

favorite












Can somebody give me the sketch of the proof of the uniformization theorem, given that every compact Riemann surface admits a non-constant meromorphic function. (I am not so sure these two are indeed related or not.)



I just want to know how the story goes on.







share|cite|improve this question




















  • Here's a similar question on MO: mathoverflow.net/questions/10516/…
    – Hans Lundmark
    Aug 20 at 14:02











  • Actually I already read the answers on the link, but I want some more details, the overall outline of the proof.
    – Mike Park
    Aug 22 at 4:06












up vote
0
down vote

favorite









up vote
0
down vote

favorite











Can somebody give me the sketch of the proof of the uniformization theorem, given that every compact Riemann surface admits a non-constant meromorphic function. (I am not so sure these two are indeed related or not.)



I just want to know how the story goes on.







share|cite|improve this question












Can somebody give me the sketch of the proof of the uniformization theorem, given that every compact Riemann surface admits a non-constant meromorphic function. (I am not so sure these two are indeed related or not.)



I just want to know how the story goes on.









share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 20 at 8:04









Mike Park

485




485











  • Here's a similar question on MO: mathoverflow.net/questions/10516/…
    – Hans Lundmark
    Aug 20 at 14:02











  • Actually I already read the answers on the link, but I want some more details, the overall outline of the proof.
    – Mike Park
    Aug 22 at 4:06
















  • Here's a similar question on MO: mathoverflow.net/questions/10516/…
    – Hans Lundmark
    Aug 20 at 14:02











  • Actually I already read the answers on the link, but I want some more details, the overall outline of the proof.
    – Mike Park
    Aug 22 at 4:06















Here's a similar question on MO: mathoverflow.net/questions/10516/…
– Hans Lundmark
Aug 20 at 14:02





Here's a similar question on MO: mathoverflow.net/questions/10516/…
– Hans Lundmark
Aug 20 at 14:02













Actually I already read the answers on the link, but I want some more details, the overall outline of the proof.
– Mike Park
Aug 22 at 4:06




Actually I already read the answers on the link, but I want some more details, the overall outline of the proof.
– Mike Park
Aug 22 at 4:06















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