Riemann Surfaces by Way of Complex Analytic Geometry (Graduate Studies in Mathematics)

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9780821853696: Riemann Surfaces by Way of Complex Analytic Geometry (Graduate Studies in Mathematics)
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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 Hormander'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.< /p>

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.

Reseña del editor:

Establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact.

"Sobre este título" puede pertenecer a otra edición de este libro.

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Dror Varolin
ISBN 10: 0821853694 ISBN 13: 9780821853696
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Varolin, Dror
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218536960000000

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Dror Varolin
Editorial: American Mathematical Society, United States (2011)
ISBN 10: 0821853694 ISBN 13: 9780821853696
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Descripción American Mathematical Society, United States, 2011. Hardback. Estado de conservación: New. 259 x 183 mm. Language: English . Brand New Book. 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 Hormander 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. Nº de ref. de la librería AAN9780821853696

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Dror Varolin
Editorial: American Mathematical Society, United States (2011)
ISBN 10: 0821853694 ISBN 13: 9780821853696
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The Book Depository US
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Descripción American Mathematical Society, United States, 2011. Hardback. Estado de conservación: New. 259 x 183 mm. Language: English . Brand New Book. 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 Hormander 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. Nº de ref. de la librería AAN9780821853696

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Dror Varolin
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THE SAINT BOOKSTORE
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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, Riemann Surfaces by Way of Complex Analytic Geometry, Dror Varolin, 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 Hormander'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. Nº de ref. de la librería B9780821853696

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Dror Varolin
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ISBN 10: 0821853694 ISBN 13: 9780821853696
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Descripción American Mathematical Society, 2011. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821853696

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Dror Varolin
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Descripción American Mathematical Society, 2011. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0821853694

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Descripción American Mathematical Society, 2011. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0821853694

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Dror Varolin
Editorial: American Mathematical Society 2011-09-15, Providence (2011)
ISBN 10: 0821853694 ISBN 13: 9780821853696
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Descripción American Mathematical Society 2011-09-15, Providence, 2011. hardback. Estado de conservación: New. Nº de ref. de la librería 9780821853696

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Dror Varolin
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Descripción American Mathematical Society, 2011. Estado de conservación: 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. . . . . . Nº de ref. de la librería V9780821853696

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