Symmetries of Compact Riemann Surfaces

Symmetries of Compact Riemann Surfaces

Author: Emilio Bujalance

Publisher: Springer

Published: 2010-09-29

Total Pages: 181

ISBN-13: 364214828X

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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.


Symmetries of Compact Riemann Surfaces

Symmetries of Compact Riemann Surfaces

Author: Emilio Bujalance

Publisher: Springer Science & Business Media

Published: 2010-10-06

Total Pages: 181

ISBN-13: 3642148271

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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.


Compact Riemann Surfaces and Algebraic Curves

Compact Riemann Surfaces and Algebraic Curves

Author: Kichoon Yang

Publisher: World Scientific

Published: 1988

Total Pages: 572

ISBN-13: 9789971507589

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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.


Compact Riemann Surfaces

Compact Riemann Surfaces

Author: Jürgen Jost

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 292

ISBN-13: 3662047454

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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.


Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

Author: Milagros Izquierdo

Publisher: American Mathematical Soc.

Published: 2014-11-21

Total Pages: 362

ISBN-13: 1470410931

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This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linköping University. The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.