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.


Book Synopsis Symmetries of Compact Riemann Surfaces by : Emilio Bujalance

Download or read book Symmetries of Compact Riemann Surfaces written by Emilio Bujalance and published by Springer Science & Business Media. This book was released on 2010-10-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetries of Compact Riemann Surfaces

Symmetries of Compact Riemann Surfaces

Author: Emilio Bujalance

Publisher:

Published: 2010-10-01

Total Pages: 186

ISBN-13: 9783642148293

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Book Synopsis Symmetries of Compact Riemann Surfaces by : Emilio Bujalance

Download or read book Symmetries of Compact Riemann Surfaces written by Emilio Bujalance and published by . This book was released on 2010-10-01 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry Types of Hyperelliptic Riemann Surfaces

Symmetry Types of Hyperelliptic Riemann Surfaces

Author:

Publisher: Societe Mathematique De France

Published: 2001

Total Pages: 122

ISBN-13: 9782856291122

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Book Synopsis Symmetry Types of Hyperelliptic Riemann Surfaces by :

Download or read book Symmetry Types of Hyperelliptic Riemann Surfaces written by and published by Societe Mathematique De France. This book was released on 2001 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.


Book Synopsis Compact Riemann Surfaces and Algebraic Curves by : Kichoon Yang

Download or read book Compact Riemann Surfaces and Algebraic Curves written by Kichoon Yang and published by World Scientific. This book was released on 1988 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: R. Narasimhan

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 127

ISBN-13: 3034886179

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Book Synopsis Compact Riemann Surfaces by : R. Narasimhan

Download or read book Compact Riemann Surfaces written by R. Narasimhan and published by Birkhäuser. This book was released on 2012-12-06 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.


Book Synopsis Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces by : Milagros Izquierdo

Download or read book Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces written by Milagros Izquierdo and published by American Mathematical Soc.. This book was released on 2014-11-21 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I: Generic Covers and Covers with Many Branch Points

Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I: Generic Covers and Covers with Many Branch Points

Author: Robert M. Guralnick

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 142

ISBN-13: 0821839926

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Considers indecomposable degree $n$ covers of Riemann surfaces with monodromy group an alternating or symmetric group of degree $d$. The authors show that if the cover has five or more branch points then the genus grows rapidly with $n$ unless either $d = n$ or the curves have genus zero, there are precisely five branch points and $n =d(d-1)/2$.


Book Synopsis Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I: Generic Covers and Covers with Many Branch Points by : Robert M. Guralnick

Download or read book Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I: Generic Covers and Covers with Many Branch Points written by Robert M. Guralnick and published by American Mathematical Soc.. This book was released on 2007 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers indecomposable degree $n$ covers of Riemann surfaces with monodromy group an alternating or symmetric group of degree $d$. The authors show that if the cover has five or more branch points then the genus grows rapidly with $n$ unless either $d = n$ or the curves have genus zero, there are precisely five branch points and $n =d(d-1)/2$.

Compact Riemann Surfaces

Compact Riemann Surfaces

Author: Jürgen Jost

Publisher: Springer Science & Business Media

Published: 1997

Total Pages: 320

ISBN-13:

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"Although Riemann surfaces are a time-honoured subject, this book is novel in its broad perspective that systematically explores the connections 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 partial differential equations, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmuller theory. The analytic approach is likewise new, as it is based on the theory of harmonic maps."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved


Book Synopsis Compact Riemann Surfaces by : Jürgen Jost

Download or read book Compact Riemann Surfaces written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 1997 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Although Riemann surfaces are a time-honoured subject, this book is novel in its broad perspective that systematically explores the connections 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 partial differential equations, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmuller theory. The analytic approach is likewise new, as it is based on the theory of harmonic maps."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

Integrable Systems and Riemann Surfaces of Infinite Genus

Integrable Systems and Riemann Surfaces of Infinite Genus

Author: Martin Ulrich Schmidt

Publisher: American Mathematical Soc.

Published: 1996

Total Pages: 127

ISBN-13: 082180460X

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This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. The resulting spaces are no longer Riemann surfaces in the usual sense, but they are quite similar to compact Riemann surfaces.


Book Synopsis Integrable Systems and Riemann Surfaces of Infinite Genus by : Martin Ulrich Schmidt

Download or read book Integrable Systems and Riemann Surfaces of Infinite Genus written by Martin Ulrich Schmidt and published by American Mathematical Soc.. This book was released on 1996 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. The resulting spaces are no longer Riemann surfaces in the usual sense, but they are quite similar to compact Riemann surfaces.

Geometry of Riemann Surfaces

Geometry of Riemann Surfaces

Author: William J. Harvey

Publisher: Cambridge University Press

Published: 2010-02-11

Total Pages: 416

ISBN-13: 0521733073

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Original research and expert surveys on Riemann surfaces.


Book Synopsis Geometry of Riemann Surfaces by : William J. Harvey

Download or read book Geometry of Riemann Surfaces written by William J. Harvey and published by Cambridge University Press. This book was released on 2010-02-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original research and expert surveys on Riemann surfaces.