Categorical resolutions of irrational singularities

Published 26 Dec 2012 in math.AG | (1212.6170v1)

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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