{ "id": "1512.02740", "version": "v1", "published": "2015-12-09T03:43:30.000Z", "updated": "2015-12-09T03:43:30.000Z", "title": "Motifs in Derived Algebraic Geometry", "authors": [ "Renaud Gauthier" ], "comment": "20 pages", "categories": [ "math.AG", "math.AT" ], "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.", "revisions": [ { "version": "v1", "updated": "2015-12-09T03:43:30.000Z" } ], "analyses": { "keywords": [ "derived algebraic geometry", "functorially defined derived algebraic stacks", "considering variables thereof", "choose derived extensions", "model site" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }