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Categorical Resolutions of Irrational Singularities
International Mathematics Research Notices. 2015. No. 13.
Кузнецов А. Г., Lunts V. A.
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 that has a semiorthogonal decomposition with components equivalent to derived categories of smooth varieties. This provides a categorical resolution of the singularity.
Язык:
английский