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Specialization of Quadratic and Symmetric Bilinear Forms

Previously published in hardcover
BuchKartoniert, Paperback
192 Seiten
Englisch
Springererschienen am09.11.20122010
It served me in the ?rst place as the foundation for a theory of generic splitting of quadratic forms [33], [34]. One should note that there exists a theoryof(partial)genericsplittingofcentralsimplealgebrasandreductivealgebraic groups, parallel to the theory of generic splitting of quadratic forms (see [29] and the literature cited there).mehr
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BuchKartoniert, Paperback
EUR53,49
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Produkt

KlappentextIt served me in the ?rst place as the foundation for a theory of generic splitting of quadratic forms [33], [34]. One should note that there exists a theoryof(partial)genericsplittingofcentralsimplealgebrasandreductivealgebraic groups, parallel to the theory of generic splitting of quadratic forms (see [29] and the literature cited there).
Details
ISBN/GTIN978-1-4471-2586-0
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2012
Erscheinungsdatum09.11.2012
Auflage2010
ReiheAlgebra and Applications
Seiten192 Seiten
SpracheEnglisch
Gewicht324 g
IllustrationenXIV, 192 p.
Artikel-Nr.15332342

Inhalt/Kritik

Inhaltsverzeichnis
Fundamentals of Specialization Theory.- Generic Splitting Theory.- Some Applications.- Specialization with Respect to Quadratic Places.mehr
Kritik
From the reviews: "In the present book Knebusch develops a theory of specialization covering all the situations occurring by combining the cases when the characteristic of the field L is equal or unequal to 2 with the cases when the forms are either symmetric bilinear or quadratic and have a prescribed type of reduction under the place. ... The book is a welcome addition to the literature on quadratic forms supporting the tendency of presenting results for forms over all fields independently of the field characteristic." (K. Szymiczek, Mathematical Reviews, Issue 2011 h) "The author developed a specialization theory and a subsequent generic splitting theory of quadratic and symmetric bilinear forms over fields. ... This book comprehensively covers the theory without the restriction of the characteristic. ... offers results on specialization with respect to quadratic places providing a look on further research. A book for the specialist!" (H. Mitsch, Monatshefte fur Mathematik, Vol. 164 (3), November, 2011) "This is an important monograph in which the author has done an excellent job putting together in one place many important results on specialization of quadratic and bilinear forms and generic splitting of quadratic forms that were previously dispersed in several research articles. It belongs on the shelf of any mathematician interested on the algebraic, geometric and arithmetic aspects of quadratic forms. The book under review joins the class of the ever expanding literature on quadratic forms ... ." (Feline Zaldivar, The Mathematical Association of America, January, 2011) "The present book represents the state of the art in the theory of specialization of quadratic forms, containing a substantial amount of previously unpublished new results. It is a welcome addition to the literature as this is the first monograph in which this original and important approach to the algebraic theory of quadratic forms has been given such a comprehensive treatment." (Detlev Hoffmann, Zentralblatt MATH, Vol. 1203, 2011)mehr