Abstract / Description of output
This is the second in a series of papers which give an explicit description of the reconstruction algebra as a quiver with relations: these algebras arise naturally as geometric generalizations of pre-projective algebras of extended Dynkin diagrams. This paper deals with dihedral groups G = D-n,D-q for which all special CM modules have rank one, and we show that all but four of the relations on such a reconstruction algebra are given simply as the relations arising from a reconstruction algebra of type A. As a corollary, the reconstruction algebra reduces the problem of explicitly understanding the minimal resolution (= G-Hilb) to the same level of difficulty as the toric case. (C) 2012 Elsevier Inc. All rights reserved.
Original language | English |
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Pages (from-to) | 158-194 |
Number of pages | 37 |
Journal | Journal of Algebra |
Volume | 356 |
Issue number | 1 |
DOIs | |
Publication status | Published - 15 Apr 2012 |
Keywords / Materials (for Non-textual outputs)
- Noncommutative resolutions
- CM modules
- Surface singularities
- MODULES
- FLOPS
- RINGS