Compact Riemann Surfaces with Symmetry Using Symbolic Computation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Riemann Surfaces with Symmetry Using Symbolic Computation write by Douglas Xiaozhong Liao. This book was released on 1997. Compact Riemann Surfaces with Symmetry Using Symbolic Computation available in PDF, EPUB and Kindle.
Symmetries of Compact Riemann Surfaces
Symmetries of Compact Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetries of Compact Riemann Surfaces write by Emilio Bujalance. This book was released on 2010-09-29. Symmetries of Compact Riemann Surfaces available in PDF, EPUB and Kindle. 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.
Computational Approach to Riemann Surfaces
Computational Approach to Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Approach to Riemann Surfaces write by Alexander I. Bobenko TU Berlin. This book was released on 2011-02-03. Computational Approach to Riemann Surfaces available in PDF, EPUB and Kindle. This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.
Introduction to Compact Riemann Surfaces and Dessins d’Enfants
Introduction to Compact Riemann Surfaces and Dessins d’Enfants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Compact Riemann Surfaces and Dessins d’Enfants write by Ernesto Girondo. This book was released on 2011-12-22. Introduction to Compact Riemann Surfaces and Dessins d’Enfants available in PDF, EPUB and Kindle. 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.
Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics
Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics write by Aaron Wootton. This book was released on 2022-02-03. Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics available in PDF, EPUB and Kindle. 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.
