We propose a theory of degenerations for derived module categories, analogous to degenerations in module varieties for module categories. In particular we define two types of degenerations, one algebraic and the other geometric. We show that these are equivalent, analogously to the Riedtmann–Zwara theorem for module varieties. Applications to tilting complexes are given, in particular that any two-term tilting complex is determined by its graded module structure.
|Number of pages||15|
|Journal||Journal of Pure and Applied Algebra|
|Early online date||13 Nov 2004|
|Publication status||Published - 2005|