Geometric Methods in the Algebraic Theory of Quadratic Forms : Summer School, Lens, 2000
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 renewal of the theory by Pfister in the 1960's. Recently, more refined geomet...
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| المؤلفون الرئيسيون: | , , , |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1835 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometric methods in the algebraic theory of quadratic forms, summer school, Lens, 2000, Oleg T. Izhboldin, Bruno Kahn, Nikita A. Karpenko ... [et al.], 2004, Berlin, Springer, 1 vol. (XIV-190 p.), Lecture notes in mathematics, 978-3-540-20728-3 • Geometric Methods in the Algebraic Theory of Quadratic Forms, Texte imprimé, 9783662177747 |
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| 245 | 0 | 0 | |a Geometric Methods in the Algebraic Theory of Quadratic Forms : |b Summer School, Lens, 2000 |c Oleg T. Izhboldin, Bruno Kahn, Nikita A. Karpenko, Alexander Vishik ; edited by Jean-Pierre Tignol. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1835 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Cohomologie non ramifiée des quadriques (B. Kahn) -- Motives of Quadrics with Applications to the Theory of Quadratic Forms (A. Vishik) -- Motives and Chow Groups of Quadrics with Applications to the u-invariant (N.A. Karpenko after O.T. Izhboldin) -- Virtual Pfister Neigbors and First Witt Index (O.T. Izhboldin) -- Some New Results Concerning Isotropy of Low-dimensional Forms (O.T. Izhboldin) -- Izhboldin's Results on Stably Birational Equivalence of Quadrics (N.A. Karpenko) -- My recollections about Oleg Izhboldin (A.S. Merkurjev). | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 renewal of the theory by Pfister in 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 Alexander Vishik, with various applications, notably to the splitting patterns of quadratic forms under base field extensions; - papers by Oleg Izhboldin and Nikita Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields which carry anisotropic quadratic forms of dimension 9, but none of higher dimension; - a contribution in French by Bruno Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties. Most of the material appears here for the first time in print. The intended audience consists of research mathematicians at the graduate or post-graduate level. | ||
| 650 | |a Formes quadratiques | ||
| 650 | |a Formes de Pfister | ||
| 650 | |a Corps algébriques | ||
| 650 | |a Mathématiques | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a Karpenko, Nikita, |d 1966- |4 aut | |
| 700 | 1 | |a Kahn, Bruno, |d 1958-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Izhboldin, Oleg T., |d 1963-2000. |4 aut | |
| 700 | 1 | |a Vishik, Alexander. |4 aut | |
| 700 | 1 | |a Tignol, Jean-Pierre, |d 1954- |4 pbd | |
| 776 | 0 | |0 084437685 |t Geometric methods in the algebraic theory of quadratic forms |o summer school, Lens, 2000 |f Oleg T. Izhboldin, Bruno Kahn, Nikita A. Karpenko ... [et al.] |d 2004 |c Berlin |n Springer |p 1 vol. (XIV-190 p.) |s Lecture notes in mathematics |z 978-3-540-20728-3 | |
| 776 | 0 | |t Geometric Methods in the Algebraic Theory of Quadratic Forms |b Texte imprimé |z 9783662177747 | |
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