On the Chow groups of quadratic Grassmannians
Copyright policy )On the Chow groups of quadratic Grassmannians
In this text we get a description of the Chow-ring (modulo 2) of the Grassmanian of the middle-dimensional planes on arbitrary projective quadric. This is only a first step in the computation of the, so-called, generic discrete invariant of quadrics. This generic invariant contains the “splitting pattern” and “motivic decomposition type” invariants as specializations. Our computation gives an important invariant J(Q) of the quadric Q . We formulate a conjecture describing the canonical dimension of Q in terms of J(Q) .
Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Steenrod operation, (Equivariant) Chow groups and rings; motives, canonical dimension, generic discrete invariant, Grassmannians, Schubert varieties, flag manifolds, Steenrod algebra, Quadratic forms over general fields
Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Steenrod operation, (Equivariant) Chow groups and rings; motives, canonical dimension, generic discrete invariant, Grassmannians, Schubert varieties, flag manifolds, Steenrod algebra, Quadratic forms over general fields
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