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Non-left-complete derived categories

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arxiv 1103.5539 v1 pith:LGFXJMEO submitted 2011-03-29 math.CT

Amnon Neeman This is my paper · ORCID
classification math.CT
keywords categoriescategoryderivedabelianadditivecharacteristicexamplesfield
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We give some examples of abelian categories A for which the derived category D(A) is not left-complete. Perhaps the most natural of these is where A is the category of representations of the additive group G_a over a field k of characteristic p>0.

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  1. Deformations of triangulated categories with t-structures via derived injectives

    math.CT 2024-11 conditional novelty 7.0 of 10

    Bounded t-deformations of a bounded t-dg-category are equivalent to dg-deformations of its category of derived injectives, and HH^n classifies them for n at least 2.

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