Reconstruction algebras of type $A$
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- by Michael Wemyss PDF
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Abstract:
We introduce a new class of algebras, called reconstruction algebras, and present some of their basic properties. These non-commutative rings dictate in every way the process of resolving the Cohen-Macaulay singularities $\mathbb {C}^2/G$ where $G=\frac {1}{r}(1,a)\leq GL(2,\mathbb {C})$.References
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Additional Information
- Michael Wemyss
- Affiliation: Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan
- Address at time of publication: School of Mathematics, James Clerk Maxwell Building, The Kings’ Buildings, Mayfield Road, Edinburgh, EH9 3J2, United Kingdom
- MR Author ID: 893224
- Email: wemyss.m@googlemail.com
- Received by editor(s): September 15, 2008
- Received by editor(s) in revised form: May 19, 2009
- Published electronically: January 25, 2011
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 3101-3132
- MSC (2000): Primary 16S38, 13C14, 14E15
- DOI: https://doi.org/10.1090/S0002-9947-2011-05130-5
- MathSciNet review: 2775800