Mennicke symbols, K-cohomology and a Bass-Kubota theorem

Details Mennicke symbols, K-cohomology and a Bass-Kubota theorem Mennicke symbols, K-cohomology and a Bass-Kubota theorem

2011-07-06

arxiv.org/abs/1107.1042v1

Mathematics

Commutative Algebra

16 pages. Submitted

Scientific paper

If A is a smooth algebra of dimension d (greater or equal to 2) over a
perfect field k of characteristic different from 2, then we show that the
universal Mennicke symbol of length d+1 is isomorphic to some K-cohomology
group. When k is algebraically closed and S is a smooth surface, we further
prove an analogue of the classical Bass-Kubota theorem for curves.

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