Motifs in Derived Algebraic Geometry
Algebraic Geometry
2020-10-19 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1512.02740,
title = {Motifs in Derived Algebraic Geometry},
author = {Renaud Gauthier},
journal= {arXiv preprint arXiv:1512.02740},
year = {2020}
}
Comments
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