Title: The Derived Category of Sheaves of Commutative DG Rings (Preview)
Authors: Amnon Yekutieli
Publication status: arXiv:1608.04265

Abstract: In this short paper we outline (mostly without proofs) our new approach to the derived category of sheaves of commutative DG rings. The proofs will appear in a subsequent paper.

Among other things, we explain how to form the derived intersection of two closed subschemes inside a given algebraic scheme X, without recourse to simplicial or higher homotopical methods, and without any global assumptions on X.

updated 16 August 2016