Simultaneous Uniformization by Lipman Bers
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چکیده
We shall show that any two Riemann surfaces satisfying a certain condition, for instance, any two closed surfaces of the same genus g > l , can be uniformized by one group of fractional linear transformations (Theorem 1). This leads, in conjunction with previous results [2; 3] , to the simultaneous uniformization of all algebraic curves of a given genus (Theorems 2-4). Theorem 5 contains an application to infinitely dimensional Teichmtiller spaces.
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تاریخ انتشار 2007