Deformations and derived equivalences
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- by Frauke M. Bleher PDF
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Abstract:
Suppose $A$ and $B$ are block algebras of finite groups over a complete local commutative Noetherian ring whose residue field is a field $k$ of positive characteristic. We prove that a split-endomorphism two-sided tilting complex (as introduced by Rickard) for the derived categories of bounded complexes of finitely generated modules over $A$, resp. $B$, preserves the versal deformation rings of bounded complexes of finitely generated modules over $kA$, resp. $kB$.References
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Additional Information
- Frauke M. Bleher
- Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242-1419
- Email: fbleher@math.uiowa.edu
- Received by editor(s): May 7, 2004
- Received by editor(s) in revised form: March 27, 2005
- Published electronically: February 17, 2006
- Additional Notes: The author was supported in part by NSA Young Investigator Grant MDA904-01-1-0050 and NSF Grant DMS01-39737.
- Communicated by: Martin Lorenz
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2503-2510
- MSC (2000): Primary 20C05; Secondary 18E30
- DOI: https://doi.org/10.1090/S0002-9939-06-08269-4
- MathSciNet review: 2213727