Unitary grassmannians
Copyright policy )Unitary grassmannians
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.
25 pages
- Sorbonne Paris Cité France
- Institut de Mathématiques de Jussieu France
Affine algebraic groups, hyperalgebra constructions, Mathematics - Algebraic Geometry, Algebra and Number Theory, FOS: Mathematics, Chow ring, Chow motive, Algebraic cycles, Algebraic Geometry (math.AG), 14L17, 14C25, homogeneous variety
Affine algebraic groups, hyperalgebra constructions, Mathematics - Algebraic Geometry, Algebra and Number Theory, FOS: Mathematics, Chow ring, Chow motive, Algebraic cycles, Algebraic Geometry (math.AG), 14L17, 14C25, homogeneous variety
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