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Quadratic forms with applications to algebraic geometry and topology /

This volume has grown out of lectures given by Professor Pfister over many years. The emphasis here is placed on results about quadratic forms that give rise to interconnections between number theory, algebra, algebraic geometry and topology. Topics discussed include Hilbert's 17th problem, the...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pfister, Albrecht
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1995.
Colección:London Mathematical Society lecture note series ; 217.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Quadratic forms with applications to algebraic geometry and topology /  |c Albrecht Pfister. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 1995. 
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490 1 |a London Mathematical Society lecture note series ;  |v 217 
504 |a Includes bibliographical references (pages 166-175) and index. 
505 0 |a Ch. 1. The Representation Theorems of Cassels -- Ch. 2. Multiplicative Quadratic Forms -- Ch. 3. The Level of Fields, Rings, and Topological Spaces -- Ch. 4. Hilbert's Homogeneous Nullstellensatz for p-fields and Applications to Topology -- Ch. 5. Tsen-Lang Theory for [actual symbol not reproducible] -- Ch. 6. Hilbert's 17th Problem -- Ch. 7. The Pythagoras Number -- Ch. 8. The u-invariant -- Ch. 9. Systems of Quadratic Forms -- Ch. 10. The Level of Projective Spaces. 
588 0 |a Print version record. 
520 |a This volume has grown out of lectures given by Professor Pfister over many years. The emphasis here is placed on results about quadratic forms that give rise to interconnections between number theory, algebra, algebraic geometry and topology. Topics discussed include Hilbert's 17th problem, the Tsen-Lang theory of quasi algebraically closed fields, the level of topological spaces and systems of quadratic forms over arbitrary fields. Whenever possible proofs are short and elegant, and the author's aim was to make this book as self-contained as possible. This is a gem of a book bringing together thirty years' worth of results that are certain to interest anyone whose research touches on quadratic forms. 
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