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 2012. Introduction to Compact Riemann Surfaces and Dessins D'Enfants available in PDF, EPUB and Kindle. An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.
Dessins d'Enfants on Riemann Surfaces
Dessins d'Enfants on 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 Dessins d'Enfants on Riemann Surfaces write by Gareth A. Jones. This book was released on 2016-03-23. Dessins d'Enfants on Riemann Surfaces available in PDF, EPUB and Kindle. This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book presents basic material, guiding the reader through the current field of research. A key point of the second part is the interplay between the automorphism groups of dessins and their Riemann surfaces, and the action of the absolute Galois group on dessins and their algebraic curves. It concludes by showing the links between the theory of dessins and other areas of arithmetic and geometry, such as the abc conjecture, complex multiplication and Beauville surfaces. Dessins d'Enfants on Riemann Surfaces will appeal to graduate students and all mathematicians interested in maps, hypermaps, Riemann surfaces, geometric group actions, and arithmetic.
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.
Compact Riemann Surfaces
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 Compact Riemann Surfaces write by Jürgen Jost. This book was released on 2013-04-17. Compact Riemann Surfaces available in PDF, EPUB and Kindle. This book is novel in its broad perspective on Riemann surfaces: the text systematically explores the connection with other fields of mathematics. The book can serve as an introduction to contemporary mathematics as a whole, as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. The book is unique among textbooks on Riemann surfaces in its inclusion of an introduction to Teichmüller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.
Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants
Galois Covers, Grothendieck-Teichmüller Theory 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 Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants write by Frank Neumann. This book was released on 2020-09-26. Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants available in PDF, EPUB and Kindle. This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmüller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018. Within the theme of the workshop, the collected articles cover a broad range of topics and explore exciting new links between algebraic geometry, representation theory, group theory, number theory and algebraic topology. The book combines research and overview articles by prominent international researchers and provides a valuable resource for researchers and students alike.
