Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497237 | Journal of Pure and Applied Algebra | 2005 | 15 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bernt Tore Jensen, Xiuping Su, Alexander Zimmermann,