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arXiv · 1612.06674

Characterising the bounded derived category of an hereditary abelian category

Andrew Hubery
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Abstract

We show that if a (not necessarily algebraic) triangulated category T contains an admissible hereditary abelian subcategory H, then we can lift the inclusion of H into T to a fully faithful triangle functor from the whole of the bounded derived category of H to T. This allows us prove, for example, that a triangulated category T is triangle equivalent to the bounded derived category of an hereditary abelian category if and only if T admits a split, bounded t-structure.

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Andrew Hubery. 2016-12-20. Characterising the bounded derived category of an hereditary abelian category. https://arxiv.org/abs/1612.06674

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