Download or read book Automorphisms of Riemann Surfaces Subgroups of Mapping Class Groups and Related Topics written by Aaron Wootton and published by American Mathematical Society. This book was released on 2022-02-03 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Characters and Automorphism Groups of Compact Riemann Surfaces written by Thomas Breuer and published by . This book was released on 1998 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Groups of Automorphisms of Compact Riemann and Klein Surfaces written by Grzegorz Gromadzki and published by . This book was released on 1993 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characters and Automorphism Groups of Compact Riemann Surfaces written by Thomas Breuer and published by Cambridge University Press. This book was released on 2000-09-21 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.
Download or read book Groups of Automorphisms of Compact Riemann Surfaces written by Buddha Prasad Chetiya and published by . This book was released on 1971 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Groups of Automorphisms of Compact Riemann Surfaces written by C. Maclachlan and published by . This book was released on 1966 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Automorphism Groups of Compact Bordered Klein Surfaces written by Emilio Bujalance and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book P groups of Automorphisms of Compact Riemann Surfaces written by E. Yasemin Talu and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Automorphism Groups on Compact Riemann Surfaces written by William Thomas Kiley and published by . This book was released on 1969 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symmetries of Compact Riemann Surfaces written by Emilio Bujalance and published by Springer. This book was released on 2010-09-29 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On Compact Riemann Surfaces with a Maximal Number of Automorphisms written by Peter Stephen Turbek and published by . This book was released on 1992 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Riemann Surfaces Theta Functions and Abelian Automorphisms Groups written by R.D.M. Accola and published by Springer. This book was released on 2006-11-14 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Group of Automorphisms of a Compact Riemann Surface written by Laurence Robert Taylor and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Moduli Spaces of Riemann Surfaces written by Benson Farb and published by American Mathematical Soc.. This book was released on 2013-08-16 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Download or read book Topics in the Theory of Riemann Surfaces written by Robert D.M. Accola and published by Springer. This book was released on 2006-11-14 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On the Automorphism Groups of Compact Riemann Surfaces written by Mihaela Dimovska and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
