An Introduction to Riemann Surfaces and Algebraic Curves: Complex 1-Tori and Elliptic Curves

IIT Madras Course , Prof. T.E. Venkata Balaji

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Lecture 3: Maximal Atlases and Holomorphic Maps of Riemann Surfaces

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        An Introduction to Riemann Surfaces and Algebraic Curves Complex 1-Tori and Elliptic Curves by Dr. T.E. Venkata Balaji, Department of Mathematics, IIT Madras. For more details on NPTEL visit httpwww.nptel.iitm.ac.insyllabus111106044Goals of the Lecture- To give a better definition of a Riemann surface using equivalence of atlases- To define the notion of a holomorphic (or) analytic map from one Riemann surface into another Riemann surface and in particular an isomorphism of Riemann surfacesKeywords for Lecture 3Complex atlas, equivalent atlases, union of equivalent atlases, maximal atlas, holomorphic (or) analytic mapping between Riemann surfaces, isomorphism of Riemann surfaces

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