Degenerations for derived categories

Details Degenerations for derived categories Degenerations for derived categories

2004-09-29

arxiv.org/abs/math/0409570v1

Mathematics

Representation Theory

Scientific paper

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.

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