MATHEMATICAL RESEARCH LETTERS, v.22, no.6, pp.1717 - 1732
INT PRESS BOSTON
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 c.International Press of boston, Inc. All right reserved.