Semi-Continuity for Derived Categories
Representation Theory
2007-05-23 v1
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.
Cite
@article{arxiv.math/0212015,
title = {Semi-Continuity for Derived Categories},
author = {Yuriy A. Drozd},
journal= {arXiv preprint arXiv:math/0212015},
year = {2007}
}
Comments
8 pages, 2 figures