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Deformations and derived equivalences
Journal article   Open access  Peer reviewed

Deformations and derived equivalences

Frauke M Bleher
Proceedings of the American Mathematical Society, Vol.134(9), pp.2503-2510
2006
DOI: 10.1090/S0002-9939-06-08269-4
url
https://doi.org/10.1090/S0002-9939-06-08269-4View
Published (Version of record) Open Access

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.

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