Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e
Algebraic Geometry
2024-04-17 v3 Algebraic Topology
Abstract
The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15] which gives a formula for the homotopy groups of the schematization of a simply connected homotopy type. We deduce from this several results on the behaviour of the schematization functor, which we propose as a solution to the schematization problem.
Keywords
Cite
@article{arxiv.1911.05509,
title = {Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e},
author = {Bertrand Toën},
journal= {arXiv preprint arXiv:1911.05509},
year = {2024}
}
Comments
21 pages, french