Degenerations for derived categories
arXiv:math/0409570
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 Riemann-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.
References in corpus (1)
Cited by in corpus (9)
- Derived autoequivalences from periodic algebras
- p-Adic Lifting Problems and Derived Equivalences
- Remarks on a Categorical Definition of Degeneration in Triangulated Categories
- Tilting, deformations and representations of linear groups over Euclidean algebras
- Varieties of Complexes of Fixed Rank
- Realizing enveloping algebras via moduli stacks
- Degenerations of graded Cohen-Macaulay modules
- The p-adic group ring of SL_2(p^f)
- Degeneration of A-infinity modules