Topics on Riemann Surfaces and Fuchsian Groups

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Publisher : Cambridge University Press
ISBN 13 : 9780521003506
Total Pages : 196 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Topics on Riemann Surfaces and Fuchsian Groups by : Emilio Bujalance García

Download or read book Topics on Riemann Surfaces and Fuchsian Groups written by Emilio Bujalance García and published by Cambridge University Press. This book was released on 2001-06-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.

Topics on Riemann Surfaces and Fuchsian Groups

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Publisher :
ISBN 13 : 9781107360723
Total Pages : 193 pages
Book Rating : 4.3/5 (67 download)

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Book Synopsis Topics on Riemann Surfaces and Fuchsian Groups by : A. F. Costa

Download or read book Topics on Riemann Surfaces and Fuchsian Groups written by A. F. Costa and published by . This book was released on 2014-05-14 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.

Riemann Surfaces and Related Topics

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Publisher : Princeton University Press
ISBN 13 : 9780691082677
Total Pages : 536 pages
Book Rating : 4.0/5 (826 download)

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Book Synopsis Riemann Surfaces and Related Topics by : Irwin Kra

Download or read book Riemann Surfaces and Related Topics written by Irwin Kra and published by Princeton University Press. This book was released on 1981-05-21 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation The description for this book, Riemann SurfaceseRelated Topics (AM-97): Proceedings of the 1978 Stony Brook Conference. (AM-97), will be forthcoming.

Riemann Surfaces

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Publisher : Springer Science & Business Media
ISBN 13 : 1461220343
Total Pages : 379 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Riemann Surfaces by : Hershel M. Farkas

Download or read book Riemann Surfaces written by Hershel M. Farkas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79

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Publisher : Princeton University Press
ISBN 13 : 1400881641
Total Pages : 452 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 by : Leon Greenberg

Download or read book Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 written by Leon Greenberg and published by Princeton University Press. This book was released on 2016-03-02 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in the Theory of Riemann Surfaces

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Publisher : Springer
ISBN 13 : 3540490566
Total Pages : 117 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Topics in the Theory of Riemann Surfaces by : Robert D.M. Accola

Download or read book Topics in the Theory of Riemann Surfaces written by Robert D.M. Accola and published by Springer. This book was released on 2006-11-14 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Characters and Automorphism Groups of Compact Riemann Surfaces

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Publisher : Cambridge University Press
ISBN 13 : 9780521798099
Total Pages : 216 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Characters and Automorphism Groups of Compact Riemann Surfaces by : Thomas Breuer

Download or read book Characters and Automorphism Groups of Compact Riemann Surfaces written by Thomas Breuer and published by Cambridge University Press. This book was released on 2000-09-21 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.

Symmetries of Compact Riemann Surfaces

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Publisher : Springer
ISBN 13 : 364214828X
Total Pages : 181 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Symmetries of Compact Riemann Surfaces by : Emilio Bujalance

Download or read book Symmetries of Compact Riemann Surfaces written by Emilio Bujalance and published by Springer. This book was released on 2010-09-29 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in the Theory of Riemann Surfaces

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Publisher : Princeton University Press
ISBN 13 : 9780691080819
Total Pages : 436 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Advances in the Theory of Riemann Surfaces by : Lars Valerian Ahlfors

Download or read book Advances in the Theory of Riemann Surfaces written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 1971-07-21 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry of Riemann Surfaces

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Publisher : Cambridge University Press
ISBN 13 : 0521733073
Total Pages : 416 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Geometry of Riemann Surfaces by : William J. Harvey

Download or read book Geometry of Riemann Surfaces written by William J. Harvey and published by Cambridge University Press. This book was released on 2010-02-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original research and expert surveys on Riemann surfaces.

Geometry and Spectra of Compact Riemann Surfaces

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Publisher : Springer Science & Business Media
ISBN 13 : 0817649921
Total Pages : 473 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometry and Spectra of Compact Riemann Surfaces by : Peter Buser

Download or read book Geometry and Spectra of Compact Riemann Surfaces written by Peter Buser and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Compact Riemann Surfaces and Dessins d’Enfants

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Publisher : Cambridge University Press
ISBN 13 : 9781139504188
Total Pages : 311 pages
Book Rating : 4.5/5 (41 download)

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Book Synopsis Introduction to Compact Riemann Surfaces and Dessins d’Enfants by : Ernesto Girondo

Download or read book Introduction to Compact Riemann Surfaces and Dessins d’Enfants written by Ernesto Girondo and published by Cambridge University Press. This book was released on 2011-12-22 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups of finite type. They then use this knowledge to introduce the reader to the theory of dessins d'enfants and its connection with algebraic curves defined over number fields. A large number of worked examples are provided to aid understanding, so no experience beyond the undergraduate level is required. Readers without any previous knowledge of the field of dessins d'enfants are taken rapidly to the forefront of current research.

Extremal Riemann Surfaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805142
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Extremal Riemann Surfaces by : John R. Quine

Download or read book Extremal Riemann Surfaces written by John R. Quine and published by American Mathematical Soc.. This book was released on 1997 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Other papers deal with maximizing or minimizing functions defined by the spectrum such as the heat kernel, the zeta function, and the determinant of the Laplacian, some from the point of view of identifying an extremal metric.

Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics

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Publisher : American Mathematical Society
ISBN 13 : 1470460254
Total Pages : 366 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics by : Aaron Wootton

Download or read book Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics written by Aaron Wootton and published by American Mathematical Society. This book was released on 2022-02-03 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.

Fuchsian Groups and Riemann Surfaces

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Publisher :
ISBN 13 :
Total Pages : 61 pages
Book Rating : 4.:/5 (774 download)

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Book Synopsis Fuchsian Groups and Riemann Surfaces by : 黃耀民

Download or read book Fuchsian Groups and Riemann Surfaces written by 黃耀民 and published by . This book was released on 2006 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetries of Compact Riemann Surfaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3642148271
Total Pages : 181 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Symmetries of Compact Riemann Surfaces by : Emilio Bujalance

Download or read book Symmetries of Compact Riemann Surfaces written by Emilio Bujalance and published by Springer Science & Business Media. This book was released on 2010-10-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with symmetries of compact Riemann surfaces. A symmetry of a compact Riemann surface S is an antianalytic involution of S. It is well known that Riemann surfaces exhibiting symmetry correspond to algebraic curves which can be defined over the field of real numbers. In this monograph we consider three topics related to the topology of symmetries, namely the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.

Riemann Surfaces and Related Topics (AM-97), Volume 97

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Publisher : Princeton University Press
ISBN 13 : 1400881552
Total Pages : 533 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Riemann Surfaces and Related Topics (AM-97), Volume 97 by : Irwin Kra

Download or read book Riemann Surfaces and Related Topics (AM-97), Volume 97 written by Irwin Kra and published by Princeton University Press. This book was released on 2016-03-02 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.