Compact Deformations of Fuchsian Groups
نویسندگان
چکیده
منابع مشابه
Lectures on Shimura Curves: Arithmetic Fuchsian Groups
The class of Fuchsian groups that we are (by far) most interested in are the arithmetic groups. The easiest way to describe arithmetic Fuchsian groups is that class of groups containing all groups commensurable with PSL2(Z) and also all groups which uniformize compact Shimura curves. This is however, not a very wellmotivated definition: structurally, what do classical modular curves and Shimura...
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In the present paper, we shall establish that IntS( ) = T ( ) for any Fuchsian group uniformizing a compact Riemann surface with nonempty boundary, i.e., for any nitely generated, purely hyperbolic Fuchsian group of the second kind, where S( ) denotes the Schwarzian derivative of all the -equivariant schlicht holomorphic functions and T ( ) is the Teichm uller space of : We also include some r...
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— We explain why the dimension of the deformations of a given generic Fuchsian equation without changing the conjugacy class of its local monodromies (“number of accessory parameters”) is equal to half the dimension of the moduli space of deformations of the associated local system. We do this by constructing a weight 1 Hodge structure on the infinitesimal deformations of integrable connections...
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— We give a geometric proof to the classical fact that the dimension of the deformations of a given generic Fuchsian equation without changing the semi-simple conjugacy class of its local monodromies (“number of accessory parameters”) is equal to half the dimension of the moduli space of deformations of the associated local system. We do this by constructing a weight 1 Hodge structure on the in...
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تاریخ انتشار 1998