Geodesic
On the Chow groups of quadratic Grassmannians
Documenta mathematica, Tome 10 (2005), pp. 111-130.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $J(Q)$.
Classification : 11E04, 14C15, 14M15
Keywords: quadrics, Chow groups, grassmannians, Steenrod operations 
@article{DOCMA_2005__10__a17,
     author = {Vishik, A.},
     title = {On the {Chow} groups of quadratic {Grassmannians}},
     journal = {Documenta mathematica},
     pages = {111--130},
     publisher = {mathdoc},
     volume = {10},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2005__10__a17/}
}
TY  - JOUR
AU  - Vishik, A.
TI  - On the Chow groups of quadratic Grassmannians
JO  - Documenta mathematica
PY  - 2005
SP  - 111
EP  - 130
VL  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2005__10__a17/
LA  - en
ID  - DOCMA_2005__10__a17
ER  - 
%0 Journal Article
%A Vishik, A.
%T On the Chow groups of quadratic Grassmannians
%J Documenta mathematica
%D 2005
%P 111-130
%V 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2005__10__a17/
%G en
%F DOCMA_2005__10__a17
Vishik, A. On the Chow groups of quadratic Grassmannians. Documenta mathematica, Tome 10 (2005), pp. 111-130. http://geodesic.mathdoc.fr/item/DOCMA_2005__10__a17/