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Mathematische Annalen

, Volume 317, Issue 3, pp 585–611 | Cite as

Criteria of motivic equivalence for quadratic forms and central simple algebras

  • Nikita A. Karpenko
Original article

Abstract.

We give a short, elementary, and characteristic independent proof of the criterion for motivic isomorphism of two projective quadrics discovered by A. Vishik [24]. We also give a criterion for motivic isomorphism of two Severi-Brauer varieties.

Keywords

Quadratic Form Simple Algebra Central Simple Algebra Independent Proof Projective Quadric 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Nikita A. Karpenko
    • 1
  1. 1.Westfälische Wilhelms-Universität, Mathematisches Institut, Einsteinstr. 62, D-48149 Münster, Germany (e-mail address: karpenk@math.uni-muenster.de) DE

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