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arXiv · 1211.6871

A nice group structure on the orbit space of unimodular rows-II

Anjan Gupta·Anuradha Garge·Ravi A. Rao
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Abstract

We establish an Excision type theorem for niceness of group structure on the orbit space of unimodular rows of length $n$ modulo elementary action. This permits us to establish niceness for relative versions of results for the cases when $n = d+1$, $d$ being the dimension of the base algebra. We then study and establish niceness for the case when $n = d$, and also establish a relative version, when the base ring is a smooth affine algebra over an algebraically closed field.

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Anjan Gupta, Anuradha Garge, Ravi A. Rao. 2012-11-29. A nice group structure on the orbit space of unimodular rows-II. https://arxiv.org/abs/1211.6871

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