This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians wanting to work in complex analytic geometry. After three introductory chapters, the book embarks on its central, and certainly most novel, goal of studying Hermitian holomorphic line bundles and ...
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This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians wanting to work in complex analytic geometry. After three introductory chapters, the book embarks on its central, and certainly most novel, goal of studying Hermitian holomorphic line bundles and their sections. Among other things, finite-dimensionality of spaces of sections of holomorphic line bundles of compact Riemann surfaces and the triviality of holomorphic line bundles over Riemann surfaces are proved, with various applications. Perhaps the main result of the book is H�rmander's Theorem on the square-integrable solution of the Cauchy-Riemann equations. The crowning application is the proof of the Kodaira and Narasimhan Embedding Theorems for compact and open Riemann surfaces. The intended reader has had first courses in real and complex analysis, as well as advanced calculus and basic differential topology (though the latter subject is not crucial). As such, the book should appeal to a broad portion of the mathematical and scientific community.
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Add this copy of Riemann Surfaces By Way of Complex Analytic Geometry to cart. $98.40, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2011 by MP-AMM American Mathematical.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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New. Establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Series: Graduate Studies in Mathematics. Num Pages: 252 pages. BIC Classification: PBKD; PBMS. Category: (G) General (US: Trade). Dimension: 262 x 183 x 18. Weight in Grams: 614. 2011. Hardcover.....We ship daily from our Bookshop.
Add this copy of Riemann Surfaces by Way of Complex Analytic Geometry to cart. $130.06, new condition, Sold by Booksplease rated 3.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2011 by American Mathematical Society.
Add this copy of Riemann Surfaces By Way of Complex Analytic Geometry to cart. $104.55, new condition, Sold by Paperbackshop International rated 2.0 out of 5 stars, ships from Fairford, GLOS, UNITED KINGDOM, published 2011 by MP-AMM American Mathematical.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of Riemann Surfaces By Way of Complex Analytic Geometry to cart. $145.52, new condition, Sold by Just one more Chapter rated 5.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2011 by American Mathematical Society.
Add this copy of Riemann Surfaces By Way of Complex Analytic Geometry to cart. $110.79, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2011 by American Mathematical Society.
Add this copy of Riemann Surfaces By Way of Complex Analytic Geometry to cart. $152.21, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2011 by American Mathematical Society.
