karpenko at ualberta.ca
Submission: 2014, Sep 23
We prove that the product of an arbitrary projective homogeneous variety Y by an orthogonal, symplectic, or unitary Grassmannian X is 2-incompressible if and only if the varieties X_F(Y) and Y_F(X) are so. Some new properties of incompressible Grassmannians are established on the way.
2010 Mathematics Subject Classification: 20G15; 14C25
Keywords and Phrases: Quadratic forms; algebraic groups; projective homogeneous varieties; orthogonal, symplectic, and unitary Grassmannians, Chow groups and motives; canonical dimension and incompressibility.
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