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arXiv · 1503.04341

Witt's theorem for noncommutative conics

A. Nyman
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Abstract

Let k be a field. We show that all homogeneous noncommutative curves of genus zero over k are noncommutative P^1-bundles over a (possibly) noncommutative base. Using this result, we compute complete isomorphism invariants of homogeneous noncommutative curves of genus zero, allowing us to generalize a theorem of Witt.

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A. Nyman. 2015-03-14. Witt's theorem for noncommutative conics. https://arxiv.org/abs/1503.04341

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