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Статья

Refined blowups

Mathematical Research Letters. 2015. Vol. 22. No. 6. P. 1717-1732.

Categorical resolution of singularities has been constructed in [KL]. It proceeds by alternating two steps of seemingly different nature. We show how to use the formalism of filtered derived categories to combine the two steps into one. This results in a certain rather natural categorical refinement of the usual blowup of an algebraic variety in a closed subscheme.