Abstract
Let be a commutative ring. For any projective -module of constant rank with a trivialization of its determinant, we define a generalized Vaserstein symbol on the orbit space of the set of epimorphisms under the action of the group of elementary automorphisms of , which maps into the elementary symplectic Witt group. We give criteria for the surjectivity and injectivity of the generalized Vaserstein symbol and deduce that it is an isomorphism if is a regular Noetherian ring of dimension or a regular affine algebra of dimension over a perfect field with and .
Citation
Tariq Syed. "A generalized Vaserstein symbol." Ann. K-Theory 4 (4) 671 - 706, 2019. https://doi.org/10.2140/akt.2019.4.671
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