On the Semi-absoluteness of Isomorphisms between the Pro-$p$ Arithmetic Fundamental Groups of Smooth Varieties

Tsujimura Shota; 辻村 昇太

タイトル	en On the Semi-absoluteness of Isomorphisms between the Pro-$p$ Arithmetic Fundamental Groups of Smooth Varieties
作成者	en Tsujimura, Shota ja 辻村, 昇太
アクセス権	open access
権利情報	en © 2023 Research Institute for Mathematical Sciences, Kyoto University. https://creativecommons.org/licenses/by/4.0/ en This work is licensed under a CC BY 4.0 license.
主題	Other en 14H30 Other en 14H25 Other en Anabelian geometry Other en étale fundamental group Other en semi-absolute Other en hyperbolic curve Other en configuration space Other en p-adic local field Other en pro-p Grothendieck conjecture
内容注記	Abstract en 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].
出版者	en European Mathematical Society - EMS - Publishing House GmbH
日付	Issued2023-10-11
言語	eng
資源タイプ	journal article
出版タイプ	VoR
資源識別子	HDL http://hdl.handle.net/2433/286955
関連	isIdenticalTo DOI https://doi.org/10.4171/prims/59-3-3
助成情報	助成機関名 ja 日本学術振興会研究課題番号 JP18J10260 https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18J10260/ JGN 研究課題名 ja 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
収録誌情報	PISSN 0034-5318 EISSN 1663-4926 en Publications of the Research Institute for Mathematical Sciences 巻59 号3 開始ページ507 終了ページ541
ファイル	fulltext prims_59-3-3.pdf (application/pdf)
コンテンツ更新日時	2026-02-18