Robert C. Gunning Lectures on Riemann Surfaces (Hardback)-image

Robert C. Gunning Lectures on Riemann Surfaces (Hardback)

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Item Height: 0.7 in Release Year: 2016 Author: Robert C. Gunning Subtitle: Jacobi Varieties Publication Year: 2016 Book Title: Lectures on Riemann Surfaces Item Width: 7.3 in Item Length: 9.4 in Publication Name: Lectures on Riemann Surfaces : Jacobi Varieties Number of Pages: 198 Pages Series: Princeton Legacy Library Language: English Subject Area: Mathematics EAN: 9780691646169 gtin13: 9780691646169 ISBN-10: 0691646163 ISBN: 9780691646169 Subject: Geometry / Non-Euclidean, Calculus, Mathematical Analysis Genre: Science Nature & Math Country of Origin: US Publisher: Princeton University Press Type: Textbook Format: Hardcover Item Weight: 16 Oz Release Date: 04/19/2016

Description

Further Details Title: Lectures on Riemann Surfaces Condition: New 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 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. Author: Robert C. Gunning Format: Hardback Subtitle: Jacobi Varieties ISBN-10: 0691646163 EAN: 9780691646169 ISBN: 9780691646169 Country/Region of Manufacture: US Item Height: 235mm Item Length: 152mm Genre: Science Nature & Math Publisher: Princeton University Press Release Date: 04/19/2016 Language: English Item Weight: 454g Series: Princeton Legacy Library Release Year: 2016 Missing Information? Please contact us if any details are missing and where possible we will add the information to our listing.

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