Symplectic modules satisfy cancellation and splitting in the critical range via vanishing of top A1-cohomology, partially answering a question on isomorphism between (d-1)th Euler class group and Chow group for smooth affine varieties of dimension d.
Vaserstein, Stabilization for the classical groups over rings
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Cancellation and splitting of Symplectic modules in the critical range and Euler class group
Symplectic modules satisfy cancellation and splitting in the critical range via vanishing of top A1-cohomology, partially answering a question on isomorphism between (d-1)th Euler class group and Chow group for smooth affine varieties of dimension d.