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Witt's theorem for noncommutative conics

Published 14 Mar 2015 in math.AG and math.QA | (1503.04341v3)

Abstract: Let k be a field. We show that all homogeneous noncommutative curves of genus zero over k are noncommutative P1-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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