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Author: Thomas Breuer
Publisher: Cambridge University Press
Published: 2000-09-21
Total Pages: 216
ISBN-13: 9780521798099
DOWNLOAD EBOOKAddresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.
Author: Thomas Breuer
Publisher:
Published: 1998
Total Pages: 199
ISBN-13:
DOWNLOAD EBOOKAuthor: William J. Harvey
Publisher: Cambridge University Press
Published: 2010-02-11
Total Pages: 416
ISBN-13: 0521733073
DOWNLOAD EBOOKOriginal research and expert surveys on Riemann surfaces.
Author: Aaron Wootton
Publisher: American Mathematical Society
Published: 2022-02-03
Total Pages: 366
ISBN-13: 1470460254
DOWNLOAD EBOOKAutomorphism 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.
Author: Paola Comparin
Publisher: American Mathematical Soc.
Published: 2021-04-23
Total Pages: 282
ISBN-13: 1470453274
DOWNLOAD EBOOKArticles 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.
Author: Milagros Izquierdo
Publisher: American Mathematical Soc.
Published: 2014-11-21
Total Pages: 362
ISBN-13: 1470410931
DOWNLOAD EBOOKThis 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.
Author: Lubjana Beshaj
Publisher: American Mathematical Soc.
Published: 2019-02-26
Total Pages: 358
ISBN-13: 1470442477
DOWNLOAD EBOOKThis 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.
Author: Andreas Malmendier
Publisher: American Mathematical Soc.
Published: 2018-04-03
Total Pages: 234
ISBN-13: 1470428563
DOWNLOAD EBOOKThis 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.
Author: Emilio Bujalance García
Publisher: Cambridge University Press
Published: 2001-06-14
Total Pages: 196
ISBN-13: 9780521003506
DOWNLOAD EBOOKIntroduction to Riemann surfaces for graduates and researchers, giving refreshingly new insights into the subject.
Author: Klaus Lux
Publisher: Cambridge University Press
Published: 2010-07-01
Total Pages: 471
ISBN-13: 1139489186
DOWNLOAD EBOOKThe representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from www.gap-system.org and readers can download source code and solutions to selected exercises from the book's web page.
