Refined blowups
Algebraic Geometry
2018-09-10 v3 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1410.7121,
title = {Refined blowups},
author = {D. Kaledin and A. Kuznetsov},
journal= {arXiv preprint arXiv:1410.7121},
year = {2018}
}
Comments
LaTeX2e, 15 pages, acknowledgements updated again