On the Chow groups of quadratic Grassmannians
A. Vishik
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Abstract
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 of the quadric . We formulate a conjecture describing the canonical dimension of in terms of .
Cite this article
A. Vishik, On the Chow groups of quadratic Grassmannians. Doc. Math. 10 (2005), pp. 111–130
DOI 10.4171/DM/184