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dc.contributor.author | Tsujimura, Shota | en |
dc.contributor.alternative | 辻村, 昇太 | ja |
dc.date.accessioned | 2024-02-09T01:34:38Z | - |
dc.date.available | 2024-02-09T01:34:38Z | - |
dc.date.issued | 2023-10-11 | - |
dc.identifier.uri | http://hdl.handle.net/2433/286955 | - |
dc.description.abstract | Let p be a prime number. In the present paper, we consider a certain pro-p analogue of the semi-absoluteness of isomorphisms between the étale fundamental groups of smooth varieties over p-adic local fields [i.e., finite extensions of the field of p-adic numbers ℚp] obtained by Mochizuki. This research was motivated by Higashiyama’s recent work on the pro-p analogue of the semi-absolute version of the Grothendieck conjecture for configuration spaces [of dimension ≥2] associated to hyperbolic curves over generalized sub-p-adic fields [i.e., subfields of finitely generated extensions of the completion of the maximal unramified extension of ℚp]. | en |
dc.language.iso | eng | - |
dc.publisher | European Mathematical Society - EMS - Publishing House GmbH | en |
dc.rights | © 2023 Research Institute for Mathematical Sciences, Kyoto University. | en |
dc.rights | This work is licensed under a CC BY 4.0 license. | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject | 14H30 | en |
dc.subject | 14H25 | en |
dc.subject | Anabelian geometry | en |
dc.subject | étale fundamental group | en |
dc.subject | semi-absolute | en |
dc.subject | hyperbolic curve | en |
dc.subject | configuration space | en |
dc.subject | p-adic local field | en |
dc.subject | pro-p Grothendieck conjecture | en |
dc.title | On the Semi-absoluteness of Isomorphisms between the Pro-$p$ Arithmetic Fundamental Groups of Smooth Varieties | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Publications of the Research Institute for Mathematical Sciences | en |
dc.identifier.volume | 59 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 507 | - |
dc.identifier.epage | 541 | - |
dc.relation.doi | 10.4171/prims/59-3-3 | - |
dc.textversion | publisher | - |
dcterms.accessRights | open access | - |
datacite.awardNumber | 18J10260 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18J10260/ | - |
dc.identifier.pissn | 0034-5318 | - |
dc.identifier.eissn | 1663-4926 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | 遠アーベル幾何学を用いた数論的な体の絶対ガロア群の組み合わせ論的特徴付け | ja |
出現コレクション: | 学術雑誌掲載論文等 |
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