descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2015Embargo end date: 01 Jan 2014 English Publisher:International Press of BostonJournal:Mathematical Research Letters, volume 22, pages 1,717-1,732 (issn: 1073-2780, eissn: 1945-001X,

Authors: A. Kuznetsov; D. Kaledin;

doi: 10.4310/mrl.2015.v22.n6.a9 , 10.48550/arxiv.1410.7121

arXiv: http://arxiv.org/abs/1410.7121

Refined blowups

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Abstract

Categorical resolution of singularities has been constructed in arXiv:1212.6170. 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.

LaTeX2e, 15 pages, acknowledgements updated again

Related Organizations

Independent University of Moscow
Russian Federation
Moscow Aviation Institute
Russian Federation

Keywords

Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, FOS: Mathematics, K-Theory and Homology (math.KT), Algebraic Geometry (math.AG)

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