Symmetries of Compact Riemann Surfaces

Symmetries of Compact Riemann Surfaces
Author: Emilio Bujalance
Publisher: Springer
Total Pages: 181
Release: 2010-09-29
Genre: Mathematics
ISBN: 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
Total Pages: 181
Release: 2010-10-06
Genre: Mathematics
ISBN: 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
Total Pages: 572
Release: 1988
Genre: Mathematics
ISBN: 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
Total Pages: 292
Release: 2013-03-09
Genre: Mathematics
ISBN: 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.

Compact Riemann Surfaces

Compact Riemann Surfaces
Author: R. Narasimhan
Publisher: Birkhäuser
Total Pages: 127
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034886179

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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.
Total Pages: 362
Release: 2014-11-21
Genre: Mathematics
ISBN: 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.