A non-commutative Bertini theorem
Algebraic Geometry
2020-06-23 v2 Rings and Algebras
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
@article{arxiv.1705.01366,
title = {A non-commutative Bertini theorem},
author = {Jørgen Vold Rennemo and Ed Segal and Michel Van den Bergh},
journal= {arXiv preprint arXiv:1705.01366},
year = {2020}
}
Comments
6 pages. v2: added funder acknowledgement. Published in J. Noncommutative Geometry