Geometric Methods In The Algebraic Theory Of Quadratic Forms PDF Download
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Author | : |
Publisher | : Springer Science & Business Media |
Total Pages | : 212 |
Release | : 2004 |
Genre | : Forms, Pfister |
ISBN | : 9783540207283 |
Download Geometric Methods in the Algebraic Theory of Quadratic Forms Book in PDF, ePub and Kindle
Author | : Oleg T Tignol Jean-Pierre Izhboldin |
Publisher | : Springer |
Total Pages | : 212 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662177747 |
Download Geometric Methods in the Algebraic Theory of Quadratic Forms Book in PDF, ePub and Kindle
Author | : Manfred Knebusch |
Publisher | : Springer Science & Business Media |
Total Pages | : 202 |
Release | : 2011-01-22 |
Genre | : Mathematics |
ISBN | : 1848822421 |
Download Specialization of Quadratic and Symmetric Bilinear Forms Book in PDF, ePub and Kindle
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).
Author | : Oleg Tomovich Izhboldin |
Publisher | : |
Total Pages | : 0 |
Release | : 2004 |
Genre | : |
ISBN | : |
Download Geometric Methods in the Algebraic Theory of Quadratic Forms Book in PDF, ePub and Kindle
Author | : Oleg T. Izhboldin |
Publisher | : Springer |
Total Pages | : 198 |
Release | : 2004-02-19 |
Genre | : Mathematics |
ISBN | : 9783540207283 |
Download Geometric Methods in the Algebraic Theory of Quadratic Forms Book in PDF, ePub and Kindle
The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes an introduction to motives of quadrics by A. Vishik, with various applications, notably to the splitting patterns of quadratic forms, papers by O. Izhboldin and N. Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields with u-invariant 9, and a contribution in French by B. Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties.
Author | : William Vallance Douglas Hodge |
Publisher | : CUP Archive |
Total Pages | : 412 |
Release | : 1947 |
Genre | : Abelian varieties |
ISBN | : |
Download Methods of Algebraic Geometry Book in PDF, ePub and Kindle
This classic work, in three volumes, provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasized throughout.
Author | : Manfred Knebusch |
Publisher | : Birkhäuser |
Total Pages | : 60 |
Release | : 1980 |
Genre | : Juvenile Nonfiction |
ISBN | : |
Download Algebraic Theory of Quadratic Forms Book in PDF, ePub and Kindle
Author | : McMaster University |
Publisher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : 9780821860083 |
Download Quadratic and Hermitian Forms Book in PDF, ePub and Kindle
Contains the proceedings of the 1983 Seminar on Quadratic and Hermitian Forms held at McMaster University, July 1983. Between 1945 and 1965, most of the work in quadratic (and hermitian) forms took place in arithmetic theory (M Eichler, M Kneser, O T O'Meara).
Author | : O. Taussky |
Publisher | : CRC Press |
Total Pages | : 156 |
Release | : 2020-12-18 |
Genre | : Mathematics |
ISBN | : 1000153355 |
Download Ternary Quadratic Forms and Norms Book in PDF, ePub and Kindle
This book covers topics including the Redei-Reichardt theorem, automorphs of ternary quadratic forms, facts concerning rational matrices leading to integral ternary forms representing zero, characteristics polynomials of symmetric matrices, and Gauss' theory of ternary quadratic forms.
Author | : Fedor Bogomolov |
Publisher | : Springer Science & Business Media |
Total Pages | : 384 |
Release | : 2004-11-12 |
Genre | : Mathematics |
ISBN | : 9780817643492 |
Download Geometric Methods in Algebra and Number Theory Book in PDF, ePub and Kindle
* Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry