Article ID Journal Published Year Pages File Type
9497237 Journal of Pure and Applied Algebra 2005 15 Pages PDF
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.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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