A non-commutative Bertini theorem

Jørgen Vold Rennemo; Ed Segal; Michel Van den Bergh

doi:10.4171/jncg/334

JournalsjncgVol. 13, No. 2pp. 609–616

A non-commutative Bertini theorem

Jørgen Vold Rennemo
University of Oslo, Norway
- MathSciNet
- zbMATH Open
Ed Segal
University College London, UK
- MathSciNet
- zbMATH Open
Michel Van den Bergh
Universiteit Hasselt, Diepenbeek, Belgium
- zbMATH Open

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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.

Cite this article

Jørgen Vold Rennemo, Ed Segal, Michel Van den Bergh, A non-commutative Bertini theorem. J. Noncommut. Geom. 13 (2019), no. 2, pp. 609–616

DOI 10.4171/JNCG/334