Unitary grassmannians |
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Authors: | Nikita A. Karpenko |
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Affiliation: | Université Pierre et Marie Curie, Institut de Mathématiques de Jussieu, Paris, France |
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Abstract: | We study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspaces of a hermitian form over a field, the main result saying that these grassmannians are 2-incompressible if the hermitian form is generic. Applications to orthogonal grassmannians are provided. |
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