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Field name	Details
Dewey Class	512
Title	Specialization of Quadratic and Symmetric Bilinear Forms ([Ebook]) / by Manfred Knebusch.
Author	Knebusch, Manfred
Other name(s)	SpringerLink (Online service)
Publication	London : Springer
Publication	, 2010.
Physical Details	XIV, 194 pages : online resource.
Series	Algebra and Applications 1572-5553 ; ; 11
ISBN	9781848822429
Summary Note	The specialization theory of quadratic and symmetric bilinear forms over fields and the subsequent generic splitting theory of quadratic forms were invented by the author in the mid-1970's. They came to fruition in the ensuing decades and have become an integral part of the geometric methods in quadratic form theory. This book comprehensively covers the specialization and generic splitting theories. These theories, originally developed mainly for fields of characteristic different from 2, are explored here without this restriction. In this book, a quadratic form Ï over a field of characteristic 2 is allowed to have a big quasilinear part QL(Ï) (defined as the restriction of Ï to the radical of the bilinear form associated to Ï), while in most of the literature QL(Ï) is assumed to have dimension at most 1. Of course, in nature, quadratic forms with a big quasilinear part abound. In addition to chapters on specialization theory, generic splitting theory and their applications, the book's final chapter contains research never before published on specialization with respect to quadratic places and will provide the reader with a glimpse towards the future.:
Contents note	Fundamentals of Specialization Theory -- Generic Splitting Theory -- Some Applications -- Specialization with Respect to Quadratic Places -- Forms -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-84882-242-9
Links to Related Works	Subject References: Algebra . Mathematics . Authors: Knebusch, Manfred . Corporate Authors: SpringerLink (Online service) . Series: Algebra and Applications . Classification: 512 . 512 (DDC 23) .

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Specialization of Quadratic and Symmetric Bilinear Forms

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