Symmetry Types Of Hyperelliptic Riemann Surfaces
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Symmetry Types Of Hyperelliptic Riemann Surfaces
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Author :
language : en
Publisher: Societe Mathematique De France
Release Date : 2001
Symmetry Types Of Hyperelliptic Riemann Surfaces written by and has been published by Societe Mathematique De France this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Symmetries Of Compact Riemann Surfaces
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Author : Emilio Bujalance
language : en
Publisher: Springer
Release Date : 2010-09-29
Symmetries Of Compact Riemann Surfaces written by Emilio Bujalance and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-29 with Mathematics categories.
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
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Author : Emilio Bujalance
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-06
Symmetries Of Compact Riemann Surfaces written by Emilio Bujalance 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 2010-10-06 with Mathematics categories.
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.
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.
Advances On Superelliptic Curves And Their Applications
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Author : L. Beshaj
language : en
Publisher: IOS Press
Release Date : 2015-07-16
Advances On Superelliptic Curves And Their Applications written by L. Beshaj and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-16 with Computers categories.
This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves.
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.
Discrete Groups And Geometry
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Author : William J. Harvey
language : en
Publisher: Cambridge University Press
Release Date : 1992-07-30
Discrete Groups And Geometry written by William J. Harvey 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 1992-07-30 with Mathematics categories.
This book constitutes the proceedings of a conference held at the University of Birmingham to mark the retirement of Professor A. M. Macbeath. The papers represent up-to-date work on a broad spectrum of topics in the theory of discrete group actions, ranging from presentations of finite groups through the detailed study of Fuchsian and crystallographic groups, to applications of group actions in low dimensional topology, complex analysis, algebraic geometry and number theory. For those wishing to pursue research in these areas, this volume offers a valuable summary of contemporary thought and a source of fresh geometric insights.
Riemann Surfaces Theta Functions And Abelian Automorphisms Groups
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Author : R.D.M. Accola
language : en
Publisher: Springer
Release Date : 2006-11-14
Riemann Surfaces Theta Functions And Abelian Automorphisms Groups written by R.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.
M Moire
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Author :
language : en
Publisher:
Release Date : 2006
M Moire written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Automorphism Groups Of Compact Bordered Klein Surfaces
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Author : Emilio Bujalance
language : en
Publisher: Springer
Release Date : 2006-11-14
Automorphism Groups Of Compact Bordered Klein Surfaces written by Emilio Bujalance 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.
This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with here take G cyclic, abelian, nilpotent or supersoluble and S hyperelliptic or with connected boundary. No advanced knowledge of group theory or hyperbolic geometry is required and three introductory chapters provide as much background as necessary on non-euclidean crystallographic groups. The graduate reader thus finds here an easy access to current research in this area as well as several new results obtained by means of the same unified approach.