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Mathematical Research Letters, 2015, Volume 22, Issue 6, Pages 1717–1732
DOI: https://doi.org/10.4310/MRL.2015.v22.n6.a9 (Mi matrs1) 		 
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
DOI: https://doi.org/10.4310/MRL.2015.v22.n6.a9
Abstract: 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.
Funding agency Grant number
Dynasty Foundation
Russian Foundation for Basic Research 14-01-00416
15-01-02164
15-51-50045
Ministry of Education and Science of the Russian Federation
Simons Foundation
D.K. is partially supported by the Dynasty Foundation award and by the Russian Academic Excellence Project "5-100". A.K. is partially supported by RFBR grants 14-01-00416, 15-01-02164, 15-51-50045, by the Simons foundation, and by the Russian Academic Excellence Project "5-100".
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Document Type: Article
Language: English
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