Isolated singularities, smooth orders and Auslander regularity

2002/07/26 by Raf Bocklandt, Lieven Le Bruyn, Bocklandt, Raf +3
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.RA #msc:16G20 #msc:16H05

paper · pdf · doi:10.48550/arxiv.math/0207251

Section added. Comm. Alg. (to appear)

arxiv created 2003/03/26 · arxiv updated 2009/11/30

Abstract

In this note we prove that a smooth order satisfying the reverse geometric engineering of singularities conditions in stringtheory (in any compactifying dimension) is Auslander regular. Moreover, we classify the etale local structure of smooth orders over an isolated central singularity.

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