Abstract
In this note we prove that a smooth order satisfying the reverse geometric engineering conditions in stringtheory of Berenstein (Berenstein, D. Reverse geometric engineering of singularities,arXiv:hep-th/0201093, Sec. 2) (in any compactifying dimension) is Auslander regular. Moreover, we classify the étale local structure of smooth orders over an isolated central singularity.
Acknowledgment
The author wishes to thank the university of Bielefeld for his stay in the period September–October 2002.
Notes
#Research assistant of the Fund for Scientific Research-Flanders (Belgium).