The Intrinsic Hodge Theory of p-adic Hyperbolic Curves
نویسنده
چکیده
A hyperbolic curve is an algebraic curve obtained by removing r points from a smooth, proper curve of genus g, where g and r are nonnegative integers such that 2g−2+r > 0. If X is a hyperbolic curve over the field of complex numbers C, then X gives rise in a natural way to a Riemann surface X . As one knows from complex analysis, the most fundamental fact concerning such a Riemann surface (due to Köbe) is that it may be uniformized by the upper half-plane, i.e.,
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