Formal completions and idempotent completions of triangulated categories of singularities

Details Formal completions and idempotent completions of triangulated categories of singularities Formal completions and idempotent completions of triangulated categories of singularities

2009-01-13

arxiv.org/abs/0901.1859v1

Adv. Math. 226 (2011), no. 1, 206--217

Mathematics

Algebraic Geometry

Dedicated to the blessed memory of my adviser Vasily Alexeevich Iskovskikh. 12 pages, LaTeX

Scientific paper

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 K-theory.

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