Author: Emilio Bujalance García
Publisher: Cambridge University Press
ISBN: 9780521003506
Category : Mathematics
Languages : en
Pages : 196
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Book Description
Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.
Author: A. F. Costa
Publisher:
ISBN: 9781107360723
Category : MATHEMATICS
Languages : en
Pages : 193
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Book Description
Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.
Author: Irwin Kra
Publisher: Princeton University Press
ISBN: 9780691082677
Category : Mathematics
Languages : en
Pages : 536
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Book Description
Annotation The description for this book, Riemann SurfaceseRelated Topics (AM-97): Proceedings of the 1978 Stony Brook Conference. (AM-97), will be forthcoming.
Author: Hershel M. Farkas
Publisher: Springer Science & Business Media
ISBN: 1461220343
Category : Mathematics
Languages : en
Pages : 379
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Book Description
This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented, as are alternate proofs for the most important results, showing the diversity of approaches to the subject. Of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics.
Author: Leon Greenberg
Publisher: Princeton University Press
ISBN: 1400881641
Category : Mathematics
Languages : en
Pages : 452
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Book Description
Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmüller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.
Author: Robert D.M. Accola
Publisher: Springer
ISBN: 3540490566
Category : Mathematics
Languages : en
Pages : 117
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Book Description
The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. The extremely useful inequality of Castelnuovo- Severi is also treated. While the methods are elementary, much of the material does not appear in the current texts on Riemann surfaces, algebraic curves. The book is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves.
Author: Thomas Breuer
Publisher: Cambridge University Press
ISBN: 9780521798099
Category : Mathematics
Languages : en
Pages : 216
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Book Description
Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.
Author: Lars Valerian Ahlfors
Publisher: Princeton University Press
ISBN: 9780691080819
Category : Mathematics
Languages : en
Pages : 436
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Book Description
Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.
Author: Emilio Bujalance
Publisher: Springer
ISBN: 364214828X
Category : Mathematics
Languages : en
Pages : 181
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Book Description
This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.
Author: Peter Buser
Publisher: Springer Science & Business Media
ISBN: 0817649921
Category : Mathematics
Languages : en
Pages : 473
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Book Description
This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. Research workers and graduate students interested in compact Riemann surfaces will find here a number of useful tools and insights to apply to their investigations.
