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Geometric methods in the algebraic theory of quadratic forms : Summer School, Lens, 2000 / Oleg T. Izhboldin ... Ed.: Jean-Pierre Tignol

Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: Lecture notes in mathematics ; 1835Publisher: Berlin ; Heidelberg [u.a.] : Springer, 2004Description: XIV, 190 S : graph. DarstISBN:
  • 3540207287
Subject(s): Genre/Form: Additional physical formats: Erscheint auch als: Geometric Methods in the Algebraic Theory of Quadratic Forms. Online-Ausgabe Berlin, Heidelberg : Springer Berlin Heidelberg, 2004. Online-Ressource (XIV, 198 p, online resource)DDC classification:
  • 510 s 512.7/4 22
  • 512.74
  • s
  • 512.7/4
  • 510
  • 510 s
  • 510
MSC: MSC: *14-06 | 11-06 | 00B15RVK: RVK: SI 850 | SK 260LOC classification:
  • QA3
  • QA243
Summary: 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 withu-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. TOC: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)PPN: PPN: 37607485X
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Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Lect. notes / 1835 Available 36334056090
Total holds: 0
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