Motifs in Derived Algebraic Geometry

Abstract

We formalize the concept of sheaves of sets on a model site by considering variables thereof, or motifs, and we construct functorially defined derived algebraic stacks from them, thereby eliminating the necessity to choose derived extensions.

23 pages, fpqc topology replaced by etale topology throughout, Lemma 3.2.1.6 is completely rewritten, occasional comments are added for clarity. The heart of the paper is otherwise the same

References in corpus (3)

• Higher and derived stacks: a global overview
• Algebraic Geometry over model categories (a general approach to derived algebraic geometry)
• Infinity Links L, infinity-4-Manifolds M_L and Kirby Categories