Formal completions and idempotent completions of triangulated categories of singularities
Abstract
The main goal of this paper is to prove that the idempotent completions of the triangulated categories of singularities of two schemes are equivalent if the formal completions of these schemes along singularities are isomorphic. We also discuss Thomason theorem on dense subcategories and a relation to the negative Ktheory.
 Publication:

arXiv eprints
 Pub Date:
 January 2009
 DOI:
 10.48550/arXiv.0901.1859
 arXiv:
 arXiv:0901.1859
 Bibcode:
 2009arXiv0901.1859O
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Category Theory;
 14F05;
 18E30;
 14B05
 EPrint:
 Dedicated to the blessed memory of my adviser Vasily Alexeevich Iskovskikh. 12 pages, LaTeX