TY - JOUR
AU - Karpenko, Nikita A.
AU - Merkurjev, Alexander S.
PY - 2022/06/11
Y2 - 2022/12/06
TI - PoincarĂ© duality for tautological Chern subrings of orthogonal grassmannians
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 128
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-132376
UR - https://www.mscand.dk/article/view/132376
SP -
AB - <p>Let $X$ be an orthogonal grassmannian of a nondegenerate quadratic form $q$ over a field. Let $C$ be the subring in the Chow ring $\text {CH}(X)$ generated by the Chern classes of the tautological vector bundle on $X$. We prove PoincarĂ© duality for $C$. For $q$ of odd dimension, the result was already known due to an identification between $C$ and the Chow ring of certain symplectic grassmannian. For $q$ of even dimension, such an identification is not available.</p>
ER -