Aaron Wootton, Jennifer Paulhus, S. Allen Broughton Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics 9781470460259

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Автор: Aaron Wootton, Jennifer Paulhus, S. Allen Broughton
Название: Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics
ISBN: 9781470460259
Издательство: Mare Nostrum (Eurospan)
Классификация:

Основы высшей математики

ISBN-10: 1470460254
Обложка/Формат: Paperback
Страницы: 351
Вес: 0.65 кг.
Дата издания: 30.04.2022
Серия: Contemporary mathematics
Язык: English
Размер: 178 x 254 x 12
Ключевые слова: Calculus & mathematical analysis,Geometry,Topology
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Поставляется из: Англии
Описание: 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.
Дополнительное описание: Calculus and mathematical analysis|Geometry|Topology

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