Basic Notions in Modular Forms on Gl2
نویسنده
چکیده
Aut(H) = PGL2(R) = PSL2(R) = SL2(R)/{±I2}, where the plus sign denotes matrices with positive determinant. A fundamental result of Riemann states that every simply connected connected Riemann surface is isomorphic to C,P1(C) or H. In fact, any punctured Riemann surface, R (namely R ⊆ R with R a compact Riemann surface and R−R a finite set of points), which is hyperbolic, that is, 2− 2 · genus(R)− ] punctures < 0,
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