Simultaneous Uniformization
Simultaneous Uniformization
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In our eReader you can find the full English version of the book. Read Simultaneous Uniformization Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Simultaneous Uniformization
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Note that Yp = S\- ( Yp )> so that this curve admits the representation z =. '^(t, 'r), -co co for |t| — > oo, li. Next, let S be as before, and let S, denote the s'xrface — ' o ' 1, obtained by removing some fixed point from S • The equivalence classes of even coupled pairs (3, [f], 3^) are the points of the Teichmliller space T, which is again a complex manifold homeomorphic to a cell and representable as a bounded domain in 3e-2 C-^° • Using the methods of the proof or Theorem 2 it is not d...ifficult to establish Theorem 3» T ^ is holomorphically equivalent to the domain — 6*^ ■ ^\ n^^C^S- defined as follows ; (z, t) = (z, ^;, , . . . V -«, ) ^ Vi, if and only if ->- ^ T and z t;. I( Yn^ ) • The results of [2, S 10] can now be restated as Theorem ij.. There e xist finitely iiiany meromorphic f unctions, FAzs-^), ,. , Fj^^(z, v), in I'l, which, for ever y fixed ^, generate the field of automorphic functions in I ( Yp _, ) under the p:roup G^f i.
What to read after Simultaneous Uniformization?
You can find similar books in the "Read Also" column, or choose other free books by Lipman Bers to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Note that Yp = S\- ( Yp )> so that this curve admits the representation z =. '^(t, 'r), -co co for |t| — > oo, li. Next, let S be as before, and let S, denote the s'xrface — ' o ' 1, obtained by removing some fixed point from S • The equivalence classes of even coupled pairs (3, [f], 3^) are the points of the Teichmliller space T, which is again a complex manifold homeomorphic to a cell and representable as a bounded domain in 3e-2 C-^° • Using the methods of the proof or Theorem 2 it is not d...ifficult to establish Theorem 3» T ^ is holomorphically equivalent to the domain — 6*^ ■ ^\ n^^C^S- defined as follows ; (z, t) = (z, ^;, , . . . V -«, ) ^ Vi, if and only if ->- ^ T and z t;. I( Yn^ ) • The results of [2, S 10] can now be restated as Theorem ij.. There e xist finitely iiiany meromorphic f unctions, FAzs-^), ,. , Fj^^(z, v), in I'l, which, for ever y fixed ^, generate the field of automorphic functions in I ( Yp _, ) under the p:roup G^f i.
What to read after Simultaneous Uniformization?
You can find similar books in the "Read Also" column, or choose other free books by Lipman Bers to read onlineMoreLess
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