修订了格罗腾迪克的sch\' emotization的问题

IF 0.9 Q2 MATHEMATICS Epijournal de Geometrie Algebrique Pub Date : 2019-11-13 DOI:10.46298/epiga.2020.volume4.6060

B. Toen

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引用次数: 8

摘要

本文的目的是重新考虑[6]的图式化问题，特别关注z上的全局情况。为此，我们证明了假设[Conj. 2.3.6][15]，该假设给出了单连通同伦类型图式化的同伦群的公式。我们由此推导出图式化函子行为的几个结果，并提出了解决图式化问题的方法。评论:21页，法文

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Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e

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. Comment: 21 pages, french

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