An Axiomatic Approach for Degenerations in Triangulated Categories |
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| Authors: | Manuel Saorín Alexander Zimmermann |
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| Institution: | 1.Departemento de Matemáticas,Universidad de Murcia,Espinardo,Spain;2.Département de Mathématiques et LAMFA (UMR 7352 du CNRS),Université de Picardie,Amiens Cedex 1,France |
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| Abstract: | We generalise Yoshino’s definition of a degeneration of two Cohen Macaulay modules to a definition of degeneration between two objects in a triangulated category. We derive some natural properties for the triangulated category and the degeneration under which the Yoshino-style degeneration is equivalent to the degeneration defined by a specific distinguished triangle analogous to Zwara’s characterisation of degeneration in module varieties. |
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