The Vaserstein symbol on real smooth affine threefolds
K-Theory and Homology
2016-06-07 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1606.01266,
title = {The Vaserstein symbol on real smooth affine threefolds},
author = {Jean Fasel},
journal= {arXiv preprint arXiv:1606.01266},
year = {2016}
}
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