An Introduction To Riemann Surfaces

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Introduction To Compact Riemann Surfaces And Dessins D Enfants

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Author : Ernesto Girondo
language : en
Publisher: Cambridge University Press
Release Date : 2012

Introduction To Compact Riemann Surfaces And Dessins D Enfants written by Ernesto Girondo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.

An Introduction To Riemann Surfaces

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Author : Terrence Napier
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-08

An Introduction To Riemann Surfaces written by Terrence Napier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-08 with Mathematics categories.

This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces. The inclusion of continuing exercises running throughout the book, which lead to generalizations of the main theorems, as well as the exercises included in each chapter make this text ideal for a one- or two-semester graduate course.

An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces

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Author : Martin Schlichenmaier
language : en
Publisher:
Release Date : 1989

An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces written by Martin Schlichenmaier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Curves, Algebraic categories.

Compact Riemann Surfaces

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Author : Jürgen Jost
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Compact Riemann Surfaces written by Jürgen Jost and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It 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. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

Introduction To Riemann Surfaces

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Author : George Springer
language : en
Publisher: Chelsea Publishing Company, Incorporated
Release Date : 2001

Introduction To Riemann Surfaces written by George Springer and has been published by Chelsea Publishing Company, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

Covers the classical theory of abstract Riemann surfaces. This book presents the requisite function theory and topology for Riemann surfaces. It also covers differentials and uniformization. For compact Riemann surfaces, it features topics such as divisors, Weierstrass points, and the Riemann-Roch theorem.

Topics In The Theory Of Riemann Surfaces

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Author : Robert D.M. Accola
language : en
Publisher: Springer
Release Date : 2006-11-14

Topics In The Theory Of Riemann Surfaces written by Robert D.M. Accola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

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.

Compact Riemann Surfaces And Algebraic Curves

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Author : Kichoon Yang
language : en
Publisher: World Scientific
Release Date : 1988

Compact Riemann Surfaces And Algebraic Curves written by Kichoon Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

This volume is an introduction to the theory of Compact Riemann Surfaces and algebraic curves. It gives a concise account of the elementary aspects of different viewpoints in curve theory. Foundational results on divisors and compact Riemann surfaces are also stated and proved.

Topics On Riemann Surfaces And Fuchsian Groups

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Author : Emilio Bujalance García
language : en
Publisher: Cambridge University Press
Release Date : 2001-06-14

Topics On Riemann Surfaces And Fuchsian Groups written by Emilio Bujalance García and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-14 with Mathematics categories.

Introduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.

Introduction To Compact Riemann Surfaces And Dessins D Enfants

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Author : Ernesto Girondo
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-22

Introduction To Compact Riemann Surfaces And Dessins D Enfants written by Ernesto Girondo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.

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

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Author : Jürgen Jost
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Compact Riemann Surfaces written by Jürgen Jost and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It 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. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps.