A strictly-functorial and small dg-enhancement of the derived category of perfect complexes

2015/02/23 by Cirone, Emanuel Rodríguez
#19E08 #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1502.06573

Abstract

Let k be a commutative noetherian ring. We construct a strictly-functorial presheaf of small dg-categories over k on the category of k-schemes of finite type, which gives dg-enhancements of the derived categories of perfect complexes.

Related

• Completing perfect complexes
• Perfect generation for regular algebraic stacks
• The stable derived category of a noetherian scheme
• DG-modules over de Rham DG-algebra
• Exact DG-categories and fully faithful triangulated inclusion functors