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arXiv · 1506.02878

An axiomatic approach for degenerations in triangulated categories

Manuel Saorin·Alexander Zimmermann
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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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BibTeXRIS

Manuel Saorin, Alexander Zimmermann. 2015-06-09. An axiomatic approach for degenerations in triangulated categories. https://arxiv.org/abs/1506.02878

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