Refined blowups
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2014
- DOI:
- 10.48550/arXiv.1410.7121
- arXiv:
- arXiv:1410.7121
- Bibcode:
- 2014arXiv1410.7121K
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - K-Theory and Homology
- E-Print:
- LaTeX2e, 15 pages, acknowledgements updated again