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Abstract R.A. Rao–W. van der Kallen showed that the Vaserstein symbol V Γ ( S R 3 ) from the orbit space of unimodular rows of length three over the… Click to show full abstract
Abstract R.A. Rao–W. van der Kallen showed that the Vaserstein symbol V Γ ( S R 3 ) from the orbit space of unimodular rows of length three over the coordinate ring of the real three sphere S R 3 modulo elementary action to the elementary symplectic Witt group W E ( Γ ( S R 3 ) ) is not injective. Dhvanita R. Rao–Neena Gupta gave an uncountable family of singular real threefolds A α for which the Vaserstein symbol V A α is not injective. In this paper, we give a countable family of smooth real birationally equivalent threefolds A n for which the Vaserstein symbol V A n is not injective.
Journal Title: Journal of Algebra
Year Published: 2018
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