Document Type
Article
Date
11-14-2009
Disciplines
Mathematics
Description/Abstract
We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commutative desingularization, in that we construct a maximal Cohen-Macaulay module over such a variety whose endomorphism ring is Cohen-Macaulay and has finite global dimension. In the case of the determinant of a square matrix, this gives a non-commutative crepant resolution.
Recommended Citation
Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; and Van Den Bergh, Michel, "Non-Commutative Desingularization of Determinantal Varieties, I" (2009). Mathematics - All Scholarship. 37.
https://surface.syr.edu/mat/37
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0911.2659