Degenerations for derived categories
表示论
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0409570,
title = {Degenerations for derived categories},
author = {Bernt Tore Jensen and Xiuping Su and Alexander Zimmermann},
journal= {arXiv preprint arXiv:math/0409570},
year = {2007}
}