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arXiv · 1606.01266

The Vaserstein symbol on real smooth affine threefolds

Jean Fasel
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Abstract

We give a necessary and sufficient topological condition for the Vaserstein symbol to be injective on smooth affine real threefolds. More precisely, we show that the Vaserstein symbol is a bijection for such a threefold X if and only if the set of compact connected components of the real points of X (endowed with the Euclidean topology) is empty.

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Jean Fasel. 2016-05-30. The Vaserstein symbol on real smooth affine threefolds. https://arxiv.org/abs/1606.01266

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