Titlebook: An Introduction to Riemann Surfaces; Terrence Napier,Mohan Ramachandran Textbook 2012 Springer Science+Business Media, LCC 2012 DeRham-Hod

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Uniformization and Embedding of Riemann Surfaces. ℂ, . Δ={.∈ℂ||.|<1}..The second goal of this chapter is the fact that every Riemann surface . may be obtained by holomorphic attachment of tubes at elements of a locally finite sequence of coordinate disks in a domain in ℙ.. In particular, for . compact, this allows one to form a canonical homology basis.

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Entwicklung des Untersuchungsmodells,s at a point, and to ., both of which are important objects in complex analysis and Riemann surface theory. We also consider homology groups, which are essentially Abelian versions of the fundamental group, and cohomology groups, which are groups that are dual to the homology groups.

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PAGAN

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https://doi.org/10.1007/978-3-663-04680-6 on second countability of Riemann surfaces, and analogues of the Mittag-Leffler theorem and the Runge approximation theorem for open Riemann surfaces. Viewing holomorphic functions as solutions of the homogeneous Cauchy–Riemann equation . in ℂ allows one to very efficiently obtain their basic prope

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https://doi.org/10.1007/978-3-663-04680-6ine bundle. We first consider the basic properties of holomorphic line bundles as well as those of sheaves and divisors. We then proceed with a discussion of the solution of the inhomogeneous Cauchy–Riemann equation with .. estimates in this more general setting. In this setting, there is a natural

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