Nikita Karpenko

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Let X be an anisotropic projective quadric over a field F of characteristic not 2. The essential dimension dimes(X) of X, as defined by Oleg Izhboldin, is dimes(X) = dim(X)− i(X) + 1 , where i(X) is(More)
We prove the so-called Unitary Isotropy Theorem, a result on isotropy of a unitary involution. The analogous previously known results on isotropy of orthogonal and symplectic involutions as well as(More)