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The Derived Category of Sheaves of Commutative DG Rings (Preview)

Published 15 Aug 2016 in math.AG, math.AT, and math.KT | (1608.04265v1)

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.

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