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  3. Quadratic Forms with Applications to Algebraic Geometry and Topology
  • Cited by 89
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1995
Online ISBN:
9780511526077
DOI:
https://doi.org/10.1017/CBO9780511526077
Subjects:
Mathematics (general), Mathematics, Number Theory, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (217)
Information

Book description

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.

Reviews

‘A very readable complement to the standard treatments.’

Source: Mathematica

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