The Riemann Surface
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The purpose of this chapter is to show how to give a structure of analytic manifold to the set of points on a curve in the complex numbers, but our treatment also applies to more general fields like p-adic numbers. We are principally interested in the complex case, in order to derive the Abel-Jacobi theorem in the next chapter.
KeywordsRiemann Surface Meromorphic Function Valuation Ring Analytic Manifold Topological Isomorphism
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