Mathematics – Algebraic Geometry
Scientific paper
2011-03-29
Mathematics
Algebraic Geometry
Scientific paper
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 on hyperbolicity of orthogonal, symplectic, and unitary involutions are formal consequences of this theorem. A component of the proof is a detailed study of the quasi-split unitary grassmannians.
Karpenko Nikita
Zhykhovich Maksim
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