Locally Mixed Symmetric Spaces - Springer Monographs in Mathematics - Bruce Hunt - Libros - Springer Nature Switzerland AG - 9783030698034 - 5 de septiembre de 2021
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Bruce Hunt
Locally Mixed Symmetric Spaces - Springer Monographs in Mathematics 2021 edition

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What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology.

Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry.

Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.

622 pages, 11 Illustrations, color; 37 Illustrations, black and white; XIX, 622 p. 48 illus., 11 ill

Medios de comunicación Libros     Hardcover Book   (Libro con lomo y cubierta duros)
Publicado 5 de septiembre de 2021
ISBN13 9783030698034
Editores Springer Nature Switzerland AG
Páginas 622
Dimensiones 150 × 220 × 20 mm   ·   1,07 kg
Lengua Alemán  

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