Nikita A. Karpenko: Hyperbolicity of hermitian forms over biquaternion algebras

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Submission: 2008, Dec 16, revised: 2009, Jan 07

We show that a non-hyperbolic hermitian form over a biquaternion algebra over a field of characteristic not 2 remains non-hyperbolic over a generic splitting field of the algebra.

2000 Mathematics Subject Classification: 14L17; 14C25

Keywords and Phrases: Algebraic groups, projective homogeneous varieties, Chow groups, algebraic K-theory

Full text: dvi.gz 32 k, dvi 74 k, ps.gz 844 k, pdf.gz 175 k, pdf 200 k.

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