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Semi-Continuity for Derived Categories

2002/12/02 by Yuriy A. Drozd, Drozd, Yuriy A.
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.math/0212015

8 pages, 2 figures

arxiv created 2002/12/02 · arxiv updated 2009/11/30

Abstract

We prove that the number of parameters defining a complex of projective modules over a finite dimensional algebra is upper semi-continuous in families of algebras. Supposing that every algebra is either derived tame or derived wild, we get that a degeneration of a derived wild algebra is derived wild too. We also explain why the so-called counter-example of Bruestle is in fact not a counter-example.

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