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arXiv · 1212.6170

Categorical resolutions of irrational singularities

Alexander Kuznetsov·Valery A. Lunts
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Abstract

We show that the derived category of any singularity over a field of characteristic 0 can be embedded fully and faithfully into a smooth triangulated category which has a semiorthogonal decomposition with components equivalent to derived categories of smooth varieties. This provides a categorical resolution of the singularity.

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Alexander Kuznetsov, Valery A. Lunts. 2012-12-26. Categorical resolutions of irrational singularities. https://doi.org/10.1093/imrn%2Frnu072

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