The algebraic and geometric theory of quadratic forms

This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over field...

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Detalles Bibliográficos
Autores principales: Elman, Richard, Karpenko, Nikita, Merkurjev, Alexander
Lenguaje:eng
Publicado: American Mathematical Society 2008
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2264193
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author Elman, Richard
Karpenko, Nikita
Merkurjev, Alexander
author_facet Elman, Richard
Karpenko, Nikita
Merkurjev, Alexander
author_sort Elman, Richard
collection CERN
description This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages
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publishDate 2008
publisher American Mathematical Society
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spelling cern-22641932021-04-21T19:13:29Zhttp://cds.cern.ch/record/2264193engElman, RichardKarpenko, NikitaMerkurjev, AlexanderThe algebraic and geometric theory of quadratic formsMathematical Physics and MathematicsThis book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages American Mathematical Societyoai:cds.cern.ch:22641932008
spellingShingle Mathematical Physics and Mathematics
Elman, Richard
Karpenko, Nikita
Merkurjev, Alexander
The algebraic and geometric theory of quadratic forms
title The algebraic and geometric theory of quadratic forms
title_full The algebraic and geometric theory of quadratic forms
title_fullStr The algebraic and geometric theory of quadratic forms
title_full_unstemmed The algebraic and geometric theory of quadratic forms
title_short The algebraic and geometric theory of quadratic forms
title_sort algebraic and geometric theory of quadratic forms
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2264193
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AT merkurjevalexander thealgebraicandgeometrictheoryofquadraticforms
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AT karpenkonikita algebraicandgeometrictheoryofquadraticforms
AT merkurjevalexander algebraicandgeometrictheoryofquadraticforms

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