Semi-Continuity for Derived Categories

Details Semi-Continuity for Derived Categories Semi-Continuity for Derived Categories

2002-12-02

arxiv.org/abs/math/0212015v1

Mathematics

Representation Theory

8 pages, 2 figures

Scientific paper

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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