Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups

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Publisher : Springer
ISBN 13 : 354037602X
Total Pages : 109 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups by : R.D.M. Accola

Download or read book Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups written by R.D.M. Accola and published by Springer. This book was released on 2006-11-14 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups

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Author :
Publisher : Springer
ISBN 13 : 9780387073989
Total Pages : 105 pages
Book Rating : 4.0/5 (739 download)

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Book Synopsis Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups by : Robert D. M. Accola

Download or read book Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups written by Robert D. M. Accola and published by Springer. This book was released on 1975-01-01 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Riemann Surfaces, Theta Functions, and Abelian Automorphism Groups

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Author :
Publisher :
ISBN 13 :
Total Pages : 105 pages
Book Rating : 4.:/5 (61 download)

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Book Synopsis Riemann Surfaces, Theta Functions, and Abelian Automorphism Groups by : Robert D. M. Accola

Download or read book Riemann Surfaces, Theta Functions, and Abelian Automorphism Groups written by Robert D. M. Accola and published by . This book was released on 1975 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Algebraic and Abelian Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461257409
Total Pages : 178 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Algebraic and Abelian Functions by : Serge Lang

Download or read book Introduction to Algebraic and Abelian Functions written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.

The Geometry of Riemann Surfaces and Abelian Varieties

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Publisher : American Mathematical Soc.
ISBN 13 : 0821838555
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Geometry of Riemann Surfaces and Abelian Varieties by : José María Muñoz Porras

Download or read book The Geometry of Riemann Surfaces and Abelian Varieties written by José María Muñoz Porras and published by American Mathematical Soc.. This book was released on 2006 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the papers in this book deal with the theory of Riemann surfaces (moduli problems, automorphisms, etc.), abelian varieties, theta functions, and modular forms. Some of the papers contain surveys on the recent results in the topics of current interest to mathematicians, whereas others contain new research results.

Riemann Surfaces and Generalized Theta Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 3642663826
Total Pages : 177 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Riemann Surfaces and Generalized Theta Functions by : Robert C. Gunning

Download or read book Riemann Surfaces and Generalized Theta Functions written by Robert C. Gunning and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of the relationships between compact Riemann surfaces (al gebraic curves) and their associated complex tori (Jacobi varieties) has long been basic to the study both of Riemann surfaces and of complex tori. A Riemann surface is naturally imbedded as an analytic submanifold in its associated torus; and various spaces of linear equivalence elasses of divisors on the surface (or equivalently spaces of analytic equivalence elasses of complex line bundies over the surface), elassified according to the dimensions of the associated linear series (or the dimensions of the spaces of analytic cross-sections), are naturally realized as analytic subvarieties of the associated torus. One of the most fruitful of the elassical approaches to this investigation has been by way of theta functions. The space of linear equivalence elasses of positive divisors of order g -1 on a compact connected Riemann surface M of genus g is realized by an irreducible (g -1)-dimensional analytic subvariety, an irreducible hypersurface, of the associated g-dimensional complex torus J(M); this hyper 1 surface W- r;;;, J(M) is the image of the natural mapping Mg- -+J(M), and is g 1 1 birationally equivalent to the (g -1)-fold symmetric product Mg- jSg-l of the Riemann surface M.

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.

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.

Analytic Theory of Abelian Varieties

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Publisher : Cambridge University Press
ISBN 13 : 0521205263
Total Pages : 105 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Analytic Theory of Abelian Varieties by : H. P. F. Swinnerton-Dyer

Download or read book Analytic Theory of Abelian Varieties written by H. P. F. Swinnerton-Dyer and published by Cambridge University Press. This book was released on 1974-12-12 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however.

Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66

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Publisher : Princeton University Press
ISBN 13 : 1400822491
Total Pages : 433 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 by : Lars Valerian Ahlfors

Download or read book Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 1971-07-01 with total page 433 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.

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.

Advances in the Theory of Riemann Surfaces

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Publisher : Princeton University Press
ISBN 13 : 069108081X
Total Pages : 432 pages
Book Rating : 4.6/5 (91 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 432 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.

Advances in the Theory of Riemann Surfaces

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Author :
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.

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.

Discontinuous Groups and Riemann Surfaces

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Publisher : Princeton University Press
ISBN 13 : 0691081387
Total Pages : 455 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Discontinuous Groups and Riemann Surfaces by : Leon Greenberg

Download or read book Discontinuous Groups and Riemann Surfaces written by Leon Greenberg and published by Princeton University Press. This book was released on 1974-04-21 with total page 455 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.

Compact Riemann Surfaces

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Publisher : Birkhäuser
ISBN 13 : 3034886179
Total Pages : 127 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Compact Riemann Surfaces by : R. Narasimhan

Download or read book Compact Riemann Surfaces written by R. Narasimhan and published by Birkhäuser. This book was released on 2012-12-06 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contributions to the Theory of Riemann Surfaces

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Author :
Publisher : Princeton University Press
ISBN 13 : 9780691079394
Total Pages : 280 pages
Book Rating : 4.0/5 (793 download)

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Book Synopsis Contributions to the Theory of Riemann Surfaces by : Lars Valerian Ahlfors

Download or read book Contributions to the Theory of Riemann Surfaces written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 1953-08-21 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Contributions to the Theory of Riemann Surfaces. (AM-30), Volume 30, will be forthcoming.