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A non-commutative Bertini theorem

Rennemo, JV; Segal, E; Van den Bergh, M; (2019) A non-commutative Bertini theorem. Journal of Noncommutative Geometry , 13 (2) pp. 609-616. 10.4171/JNCG/334. Green open access

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Abstract

We prove a version of the classical ‘generic smoothness’ theorem with smooth varieties replaced by non-commutative resolutions of singular varieties. This in particular implies a non-commutative version of the Bertini theorem.

Type: Article
Title: A non-commutative Bertini theorem
Open access status: An open access version is available from UCL Discovery
DOI: 10.4171/JNCG/334
Publisher version: https://doi.org/10.4171/JNCG/334
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Non-commutative resolution, Bertini theorem
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10083359
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