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The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory of higher modular functions.
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Complex analysis 2: Riemann surfaces, several complex variables, abelian functions, higher modular functions
2011, Springer
in English
3642205534 9783642205538
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Includes bibliographical references (p. 494-498) and index.
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- Created February 8, 2012
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August 27, 2024 | Edited by MARC Bot | import existing book |
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February 8, 2012 | Created by LC Bot | Imported from Library of Congress MARC record |