Geodesic
On the Chow groups of quadratic Grassmannians
Documenta mathematica, Tome 10 (2005), pp. 111-130
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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).
DOI : 10.4171/dm/184
Classification : 11E04, 14C15, 14M15
Mots-clés : quadrics, Steenrod operations, Chow groups, grassmannians 
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     author = {A. Vishik},
     title = {On the {Chow} groups of quadratic {Grassmannians}},
     journal = {Documenta mathematica},
     pages = {111--130},
     year = {2005},
     volume = {10},
     doi = {10.4171/dm/184},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/184/}
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A. Vishik. On the Chow groups of quadratic Grassmannians. Documenta mathematica, Tome 10 (2005), pp. 111-130. doi: 10.4171/dm/184

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