Limit constructions over Riemann surfaces and their parameter spaces, and the commensurability group actions
نویسندگان
چکیده
منابع مشابه
Manuscripta Mathematica Manuscript-nr. Triangulations and Moduli Spaces of Riemann Surfaces with Group Actions ?
We study that subset of the moduli space M g of stable genus g, g > 1, Riemann surfaces which consists of such stable Riemann surfaces on which a given nite group F acts. We show rst that this subset is compact. It turns out that, for general nite groups F, the above subset is not connected. We show, however, that for Z 2 actions this subset is connected. Finally, we show that even in the modul...
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15 صفحه اولLimit Surfaces of Riemann Examples
The only connected minimal surfaces foliated by circles and lines are domains on one of the following surfaces: the helicoid, the catenoid, the plane, and the examples of Riemann ([Ri] p329-33, [En] p403-6, [Ni] p85-6). All these surfaces are complete and embedded. Topologically they are planar domains: the helicoid is simply-connected, the catenoid is an annulus (conformally a twice-punctured ...
متن کاملRiemann Surfaces and Their Moduli
The purpose of these notes is to give an overview of Riemann surfaces, and their moduli spaces. In general, theorems will be presented without proof, although references will be provided. These notes were originally prepared for the summer 2004 session of the UIUC Graduate String Seminar1. Proofs of nearly all the theorems may be found, unless otherwise noted, in [FK80]. CONTENTS 1. Mathematica...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2000
ISSN: 1022-1824,1420-9020
DOI: 10.1007/pl00001388