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

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Background Material on Linear Algebrain Sect. .) and tensor products (which are essential in the discussion of holomorphic line bundles in Chap. .). In this book, we mostly consider exterior and tensor products in vector spaces of dimension 1 or 2.
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https://doi.org/10.1007/978-0-8176-4693-6DeRham-Hodge decomposition; Morse theory; complex manifolds
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Heinz Maier-Leibnitz,Reimar LüstIn this chapter, we recall some basic definitions and facts concerning integration and Hilbert spaces.
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https://doi.org/10.1007/978-3-663-05099-5In this chapter, we recall some basic definitions and facts concerning analysis on manifolds (mainly of dimension 1 or 2).
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Entwicklung des Untersuchungsmodells,This chapter is required for the proof of integrability of almost complex structures in Chap. .. The main goal is a regularity theorem for first order differential operators satisfying a certain estimate.
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Background Material on Sobolev Spaces and RegularityThis chapter is required for the proof of integrability of almost complex structures in Chap. .. The main goal is a regularity theorem for first order differential operators satisfying a certain estimate.
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Complex Analysis in ℂand facts concerning complex analysis in ℂ from the point of view of local solutions of the inhomogeneous Cauchy–Riemann equation .. The . solution of the analogous inhomogeneous Cauchy–Riemann equation on a Riemann surface (see Chaps. . and .) will allow us to obtain analogues of some of the centra
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