Poincaré duality for tautological Chern subrings of orthogonal grassmannians
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Published:2022-06-11
Issue:2
Volume:128
Page:
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ISSN:1903-1807
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Container-title:MATHEMATICA SCANDINAVICA
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language:
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Short-container-title:Math. Scand.
Author:
Karpenko Nikita A.,Merkurjev Alexander S.
Abstract
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 Poincaré 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.
Publisher
Det Kgl. Bibliotek/Royal Danish Library
Subject
General Mathematics
Cited by
1 articles.
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