Lectures On Riemann Surfaces - Proceedings Of The College On Riemann Surfaces

Lectures On Riemann Surfaces - Proceedings Of The College On Riemann Surfaces PDF Author: Maurizio Cornalba
Publisher: World Scientific
ISBN: 9814590878
Category : Mathematics
Languages : en
Pages : 716

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Lectures On Riemann Surfaces - Proceedings Of The College On Riemann Surfaces

Lectures On Riemann Surfaces - Proceedings Of The College On Riemann Surfaces PDF Author: Maurizio Cornalba
Publisher: World Scientific
ISBN: 9814590878
Category : Mathematics
Languages : en
Pages : 716

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Book Description


Lectures on Riemann Surfaces

Lectures on Riemann Surfaces PDF Author: Maurizio Cornalba
Publisher:
ISBN: 9789814503365
Category : Mathematics
Languages : en
Pages : 0

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Book Description
The first College on Riemann Surfaces centered on the theory of Riemann surfaces and their moduli and its applications to physics. This volume contains revised versions of the notes distributed at the College.

Lectures on Riemann Surfaces

Lectures on Riemann Surfaces PDF Author: Robert C. Gunning
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Lectures on Vector Bundles Over Riemann Surfaces

Lectures on Vector Bundles Over Riemann Surfaces PDF Author: Robert C. Gunning
Publisher: Princeton University Press
ISBN: 9780691079981
Category : Mathematics
Languages : en
Pages : 256

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Book Description
The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6, will be forthcoming.

Lectures on Riemann Surfaces

Lectures on Riemann Surfaces PDF Author: Robert C. Gunning
Publisher: Princeton University Press
ISBN: 1400872693
Category : Mathematics
Languages : en
Pages : 198

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Book Description
A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis presented here requires the use of various properties of Jacobi varieties and of symmetric products of Riemann surfaces, and so serves as a further introduction to these topics as well. The first chapter consists of a rather explicit description of a canonical basis for the Abelian differentials on a marked Riemann surface, and of the description of the canonical meromorphic differentials and the prime function of a marked Riemann surface. Chapter 2 treats Jacobi varieties of compact Riemann surfaces and various subvarieties that arise in determining the dimensions of spaces of holomorphic cross-sections of complex line bundles. In Chapter 3, the author discusses the relations between Jacobi varieties and symmetric products of Riemann surfaces relevant to the determination of dimensions of spaces of holomorphic cross-sections of complex line bundles. The final chapter derives Torelli's theorem following A. Weil, but in an analytical context. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Lectures on Riemann Surfaces

Lectures on Riemann Surfaces PDF Author: Robert Clifford Gunning
Publisher:
ISBN:
Category : Riemann surfaces
Languages : en
Pages : 256

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Riemann Surfaces

Riemann Surfaces PDF Author: Lipman Bers
Publisher:
ISBN:
Category : Riemann surfaces
Languages : en
Pages : 540

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Lectures on Riemann Surfaces

Lectures on Riemann Surfaces PDF Author: Otto Forster
Publisher: Springer Science & Business Media
ISBN: 1461259614
Category : Mathematics
Languages : en
Pages : 262

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Book Description
This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Münster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. From the reviews: "This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces."—-MATHEMATICAL REVIEWS

Algebraic Curves and Riemann Surfaces

Algebraic Curves and Riemann Surfaces PDF Author: Rick Miranda
Publisher: American Mathematical Soc.
ISBN: 0821802682
Category : Mathematics
Languages : en
Pages : 390

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Book Description
The book was easy to understand, with many examples. The exercises were well chosen, and served to give further examples and developments of the theory. --William Goldman, University of Maryland In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking center stage. But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Duality Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves and cohomology are introduced as a unifying device in the latter chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one semester of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-semester course in complex variables or a year-long course in algebraic geometry.

Compact Riemann Surfaces

Compact Riemann Surfaces PDF Author: R. Narasimhan
Publisher: Springer Science & Business Media
ISBN: 9783764327422
Category : Mathematics
Languages : en
Pages : 132

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Book Description
The lecture notes forming a course given by the author at the Eidgenossische Technische Hochschule, Zurich, from November 1984 to February 1985. Presents the basic theorems about the Jacobian from Riemann's own point of view. Annotation copyrighted by Book News, Inc., Portland, OR