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Degenerations for derived categories

Bernt Tore Jensen·Xiuping Su·Alexander Zimmermann
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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.

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Bernt Tore Jensen, Xiuping Su, Alexander Zimmermann. 2004-09-29. Degenerations for derived categories. https://arxiv.org/abs/math/0409570

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