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Refined blowups
D. Kaledinabc, A. Kuznetsovca
a Algebraic Geometry Section, Steklov Math Institute, Moscow, Russia
b Center for Geometry and Physics, IBS, Pohang, Republic of Korea
c Laboratory of Algebraic Geometry, National Research University, Higher School of Economics, Russian Federation
Аннотация:
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.
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