Hyperbolicity of unitary involutions |
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| Authors: | Nikita A. Karpenko |
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| Affiliation: | KARPENKO Nikita A.Institut de Math’ematiques de Jussieu,Universit’e Pierre et Marie Curie,Paris,France |
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| Abstract: | We prove the so-called Unitary Hyperbolicity Theorem, a result on hyperbolicity of unitary involutions. The analogous previously known results for the orthogonal and symplectic involutions are formal consequences of the unitary one. While the original proofs in the orthogonal and symplectic cases were based on the incompressibility of generalized Severi-Brauer varieties, the proof in the unitary case is based on the incompressibility of their Weil transfers. |
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| Keywords: | algebraic groups involutions projective homogeneous varieties Chow groups and motives Steenrod operations |
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