A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick ?rst came to my ears in May 1… Mehr…
A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick ?rst came to my ears in May 1998 during a talk by T.Y. Lam 1 on ?eld invariants from the theory of quadratic forms. It is-poetic exaggeration allowed-a suitable motto for this monograph. What is it about? At the beginning of the seventies I drew up a specialization theoryofquadraticandsymmetricbilinear formsover ?elds[32].Let? : K? L?? be a place. Then one can assign a form? (?)toaform? over K in a meaningful way ? if? has 'good reduction' with respect to? (see 1.1). The basic idea is to simply apply the place? to the coe?cients of?, which must therefore be in the valuation ring of?. The specialization theory of that time was satisfactory as long as the ?eld L, and therefore also K, had characteristic 2. It served me in the ?rst place as the foundation for a theory of generic splitting of quadratic forms [33], [34]. After a very modest beginning, this theory is now in full bloom. It became important for the understanding of quadratic forms over ?elds, as can be seen from the book [26]of Izhboldin-Kahn-Karpenko-Vishik for instance. 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). eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Mathematik; eBooks > Fachbücher > Mathematik , Springer, PDF, Springer<
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A Mathematician Said Who Can Quote Me a Theorem that's True?For the ones that I Know Are Simply not So, When the Characteristic is Two!This pretty limerick ?rst came to my ears in May 199… Mehr…
A Mathematician Said Who Can Quote Me a Theorem that's True?For the ones that I Know Are Simply not So, When the Characteristic is Two!This pretty limerick ?rst came to my ears in May 1998 during a talk by T.Y.Lam 1 on ?eld invariants from the theory of quadratic forms.It is-poetic exaggeration allowed-a suitable motto for this monograph.What is it about? At the beginning of the seventies I drew up a specialization theoryofquadraticandsymmetricbilinear formsover ?elds[32].Let? : K? L?? be a place. Then one can assign a form? (?)toaform? over K in a meaningful way ? if? has "good reduction" with respect to? (see1.1). The basic idea is to simply apply the place? to the coe?cients of?, which must therefore be in the valuation ring of?.The specialization theory of that time was satisfactory as long as the ?eld L, and therefore also K, had characteristic 2.It served me in the ?rst place as the foundation for a theory of generic splitting of quadratic forms [33], [34].After a very modest beginning, this theory is now in full bloom.It became important for the understanding of quadratic forms over ?elds, as can be seen from the book [26]of Izhboldin-Kahn-Karpenko-Vishik for instance.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).; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Springer London<
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(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick? rst came to my ears in May 1… Mehr…
A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick? rst came to my ears in May 1998 during a talk by T.Y. Lam 1 on? eld invariants from the A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick? rst came to my ears in May 1998 during a talk by T.Y. Lam 1 on? eld invariants from the, Springer<
A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick ?rst came to my ears in May 1… Mehr…
A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick ?rst came to my ears in May 1998 during a talk by T.Y. Lam 1 on ?eld invariants from the theory of quadratic forms. It is-poetic exaggeration allowed-a suitable motto for this monograph. What is it about? At the beginning of the seventies I drew up a specialization theoryofquadraticandsymmetricbilinear formsover ?elds[32].Let? : K? L?? be a place. Then one can assign a form? (?)toaform? over K in a meaningful way ? if? has 'good reduction' with respect to? (see 1.1). The basic idea is to simply apply the place? to the coe?cients of?, which must therefore be in the valuation ring of?. The specialization theory of that time was satisfactory as long as the ?eld L, and therefore also K, had characteristic 2. It served me in the ?rst place as the foundation for a theory of generic splitting of quadratic forms [33], [34]. After a very modest beginning, this theory is now in full bloom. It became important for the understanding of quadratic forms over ?elds, as can be seen from the book [26]of Izhboldin-Kahn-Karpenko-Vishik for instance. 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). eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Mathematik; eBooks > Fachbücher > Mathematik , Springer, PDF, Springer<
Nr. A1031451512. Versandkosten:Lieferzeiten außerhalb der Schweiz 3 bis 21 Werktage, , Sofort per Download lieferbar, zzgl. Versandkosten. (EUR 18.72)
A Mathematician Said Who Can Quote Me a Theorem that's True?For the ones that I Know Are Simply not So, When the Characteristic is Two!This pretty limerick ?rst came to my ears in May 199… Mehr…
A Mathematician Said Who Can Quote Me a Theorem that's True?For the ones that I Know Are Simply not So, When the Characteristic is Two!This pretty limerick ?rst came to my ears in May 1998 during a talk by T.Y.Lam 1 on ?eld invariants from the theory of quadratic forms.It is-poetic exaggeration allowed-a suitable motto for this monograph.What is it about? At the beginning of the seventies I drew up a specialization theoryofquadraticandsymmetricbilinear formsover ?elds[32].Let? : K? L?? be a place. Then one can assign a form? (?)toaform? over K in a meaningful way ? if? has "good reduction" with respect to? (see1.1). The basic idea is to simply apply the place? to the coe?cients of?, which must therefore be in the valuation ring of?.The specialization theory of that time was satisfactory as long as the ?eld L, and therefore also K, had characteristic 2.It served me in the ?rst place as the foundation for a theory of generic splitting of quadratic forms [33], [34].After a very modest beginning, this theory is now in full bloom.It became important for the understanding of quadratic forms over ?elds, as can be seen from the book [26]of Izhboldin-Kahn-Karpenko-Vishik for instance.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).; PDF; Scientific, Technical and Medical > Mathematics > Algebra, Springer London<
No. 9781848822429. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick? rst came to my ears in May 1… Mehr…
A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick? rst came to my ears in May 1998 during a talk by T.Y. Lam 1 on? eld invariants from the A Mathematician Said Who Can Quote Me a Theorem that's True? For the ones that I Know Are Simply not So, When the Characteristic is Two! This pretty limerick? rst came to my ears in May 1998 during a talk by T.Y. Lam 1 on? eld invariants from the, Springer<
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Detailangaben zum Buch - Specialization of Quadratic and Symmetric Bilinear Forms
EAN (ISBN-13): 9781848822429 ISBN (ISBN-10): 1848822421 Erscheinungsjahr: 2010 Herausgeber: Springer London 192 Seiten Sprache: eng/Englisch
Buch in der Datenbank seit 2012-06-11T09:37:36+02:00 (Berlin) Detailseite zuletzt geändert am 2023-01-13T00:24:48+01:00 (Berlin) ISBN/EAN: 9781848822429
ISBN - alternative Schreibweisen: 1-84882-242-1, 978-1-84882-242-9 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: manfred unger, thomas unger Titel des Buches: symmetric bilinear forms, quadratic forms
Daten vom Verlag:
Autor/in: Manfred Knebusch Titel: Algebra and Applications; Specialization of Quadratic and Symmetric Bilinear Forms Verlag: Springer; Springer London 192 Seiten Erscheinungsjahr: 2011-01-22 London; GB Übersetzer/in: Thomas Unger Sprache: Englisch 53,49 € (DE) 59,00 CHF (CH) Available XIV, 192 p.
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 φ over a field of characteristic 2 is allowed to have a big quasilinear part QL(φ) (defined as the restriction of φ to the radical of the bilinear form associated to φ), while in most of the literature QL(φ) 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. Written by the founder of specialization theory of quadratic and symmetric bilinear forms over fields and the subsequent generic splitting theory of quadratic forms Comprehensively covers specialization and generic splitting theories Contains a final chapter containing research never before published on specialization with respect to quadratic place
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