{"title":"Le probl\\`eme de la sch\\'ematisation de Grothendieck revisit\\'e","authors":"B. Toen","doi":"10.46298/epiga.2020.volume4.6060","DOIUrl":null,"url":null,"abstract":"The objective of this work is to reconsider the schematization problem of\n[6], with a particular focus on the global case over Z. For this, we prove the\nconjecture [Conj. 2.3.6][15] which gives a formula for the homotopy groups of\nthe schematization of a simply connected homotopy type. We deduce from this\nseveral results on the behaviour of the schematization functor, which we\npropose as a solution to the schematization problem.\n\n Comment: 21 pages, french","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2020.volume4.6060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
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.
Comment: 21 pages, french
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