Le problème de la schématisation de Grothendieck revisité
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866914755492446208 |
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| author | Toën, Bertrand |
| author_facet | Toën, Bertrand |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_05509 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Le problème de la schématisation de Grothendieck revisité Toën, Bertrand Algebraic Geometry Algebraic Topology 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. |
| title | Le problème de la schématisation de Grothendieck revisité |
| topic | Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/1911.05509 |