Characters And Automorphism Groups Of Compact Riemann Surfaces

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Characters and Automorphism Groups of Compact Riemann Surfaces

Author : Thomas Breuer
Publisher : Cambridge University Press
Page : 216 pages
File Size : 48,7 Mb
Release : 2000-09-21
Category : Mathematics
ISBN : 0521798094

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Characters and Automorphism Groups of Compact Riemann Surfaces by Thomas Breuer Pdf

Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.

Automorphism Groups of Compact Bordered Klein Surfaces

Author : Emilio Bujalance,Jose J. Etayo,Jose M. Gamboa,Grzegorz Gromadzki
Publisher : Springer
Page : 214 pages
File Size : 42,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540471806

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Automorphism Groups of Compact Bordered Klein Surfaces by Emilio Bujalance,Jose J. Etayo,Jose M. Gamboa,Grzegorz Gromadzki Pdf

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.

Automorphism Groups on Compact Riemann Surfaces

Author : William Thomas Kiley
Publisher : Unknown
Page : 114 pages
File Size : 45,5 Mb
Release : 1969
Category : Group theory
ISBN : CORNELL:31924001110927

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Automorphism Groups on Compact Riemann Surfaces by William Thomas Kiley Pdf

Topics in the Theory of Riemann Surfaces

Author : Robert D.M. Accola
Publisher : Springer
Page : 117 pages
File Size : 48,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540490562

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Topics in the Theory of Riemann Surfaces by Robert D.M. Accola Pdf

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.

Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics

Author : Aaron Wootton,S. Allen Broughton,Jennifer Paulhus
Publisher : American Mathematical Society
Page : 366 pages
File Size : 52,5 Mb
Release : 2022-02-03
Category : Mathematics
ISBN : 9781470460259

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Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics by Aaron Wootton,S. Allen Broughton,Jennifer Paulhus Pdf

Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.

Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties

Author : Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez
Publisher : American Mathematical Soc.
Page : 282 pages
File Size : 52,6 Mb
Release : 2021-04-23
Category : Education
ISBN : 9781470453275

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Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties by Paola Comparin,Eduardo Esteves,Herbert Lange,Sebastián Reyes-Carocca,Rubí E. Rodríguez Pdf

Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.

Symmetries of Compact Riemann Surfaces

Author : Emilio Bujalance,Francisco Javier Cirre,José Manuel Gamboa,Grzegorz Gromadzki
Publisher : Springer
Page : 164 pages
File Size : 44,6 Mb
Release : 2010-09-29
Category : Mathematics
ISBN : 9783642148286

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Symmetries of Compact Riemann Surfaces by Emilio Bujalance,Francisco Javier Cirre,José Manuel Gamboa,Grzegorz Gromadzki Pdf

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.

Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

Author : Milagros Izquierdo, S. Allen Broughton, Antonio F. Costa,Rubí E. Rodríguez
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 53,7 Mb
Release : 2014-11-21
Category : Mathematics
ISBN : 9781470410933

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Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces by Milagros Izquierdo, S. Allen Broughton, Antonio F. Costa,Rubí E. Rodríguez Pdf

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.

Algebraic Curves and Their Applications

Author : Lubjana Beshaj,Tony Shaska
Publisher : American Mathematical Soc.
Page : 344 pages
File Size : 41,7 Mb
Release : 2019-02-26
Category : Curves, Algebraic
ISBN : 9781470442477

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Algebraic Curves and Their Applications by Lubjana Beshaj,Tony Shaska Pdf

This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more. Papers cover topics such as the rational torsion points of elliptic curves, arithmetic statistics in the moduli space of curves, combinatorial descriptions of semistable hyperelliptic curves over local fields, heights on weighted projective spaces, automorphism groups of curves, hyperelliptic curves, dessins d'enfants, applications to Painlevé equations, descent on real algebraic varieties, quadratic residue codes based on hyperelliptic curves, and Abelian varieties and cryptography. This book will be a valuable resource for people interested in algebraic curves and their connections to other branches of mathematics.

Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Author : Andreas Malmendier,Tony Shaska
Publisher : American Mathematical Soc.
Page : 222 pages
File Size : 46,5 Mb
Release : 2018-04-03
Category : Arithmetical algebraic geometry
ISBN : 9781470428563

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Higher Genus Curves in Mathematical Physics and Arithmetic Geometry by Andreas Malmendier,Tony Shaska Pdf

This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both mathematical physics and arithmetic geometry. This volume focuses on the role of higher genus curves; in particular, hyperelliptic and superelliptic curves in algebraic geometry and mathematical physics. The articles in this volume investigate the automorphism groups of curves and superelliptic curves and results regarding integral points on curves and their applications in mirror symmetry. Moreover, geometric subjects are addressed, such as elliptic 3 surfaces over the rationals, the birational type of Hurwitz spaces, and links between projective geometry and abelian functions.

Geometry of Riemann Surfaces

Author : William J. Harvey,Frederick P. Gardiner,Gabino González-Diez,Christos Kourouniotis
Publisher : Cambridge University Press
Page : 416 pages
File Size : 55,9 Mb
Release : 2010-02-11
Category : Mathematics
ISBN : 9780521733076

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Geometry of Riemann Surfaces by William J. Harvey,Frederick P. Gardiner,Gabino González-Diez,Christos Kourouniotis Pdf

Original research and expert surveys on Riemann surfaces.