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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Triangulated categories of Gorenstein cyclic quotient singularities
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by Kazushi Ueda PDF
Proc. Amer. Math. Soc. 136 (2008), 2745-2747 Request permission

Abstract:

We prove there is an equivalence of derived categories between Orlov’s triangulated category of singularities for a Gorenstein cyclic quotient singularity and the derived category of representations of a quiver with relations, which is obtained from a McKay quiver by removing one vertex and half of the arrows. This result produces examples of distinct quivers with relations which have equivalent derived categories of representations.
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Additional Information
  • Kazushi Ueda
  • Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1-1, Toyonaka, Osaka, 560-0043, Japan
  • MR Author ID: 772510
  • Email: kazushi@math.sci.osaka-u.ac.jp
  • Received by editor(s): July 6, 2006
  • Received by editor(s) in revised form: October 6, 2006, and July 8, 2007
  • Published electronically: April 3, 2008
  • Additional Notes: The author was supported by the 21st Century COE Program of Osaka University.
  • Communicated by: Ted Chinburg
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2745-2747
  • MSC (2000): Primary 18E30; Secondary 16G20
  • DOI: https://doi.org/10.1090/S0002-9939-08-09470-7
  • MathSciNet review: 2399037