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Triangulated categories of Gorenstein cyclic quotient singularities
Author(s):
Kazushi
Ueda
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2745-2747.
MSC (2000):
Primary 18E30;
Secondary 16G20
Posted:
April 3, 2008
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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
Email:
kazushi@math.sci.osaka-u.ac.jp
DOI:
10.1090/S0002-9939-08-09470-7
PII:
S 0002-9939(08)09470-7
Received by editor(s):
July 6, 2006,
Received by editor(s) in revised form:
October 6, 2006, and July 8, 2007
Posted:
April 3, 2008
Additional Notes:
The author was supported by the 21st Century COE Program of Osaka University.
Communicated by:
Ted Chinburg
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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