Izhboldin’s Results on Stably Birational Equivalence of Quadrics

  • Nikita A. KarpenkoEmail author
Part of the Lecture Notes in Mathematics book series (LNM, volume 1835)


Our main goal is to give proofs of all results announced by Oleg Izhboldin in [13]. In particular, we establish Izhboldin’s criterion for stable equivalence of 9-dimensional forms. Several other related results, some of them due to the author, are also included.


Quadratic Form Special Pair Central Simple Algebra Witt Index Minimal Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Laboratoire Géométrie-AlgébreUniversité d’ArtoisLens CedexFrance

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