On the Semi-absoluteness of Isomorphisms between the Pro-$p$ Arithmetic Fundamental Groups of Smooth Varieties
抄録
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].
収録刊行物
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- Publications of the Research Institute for Mathematical Sciences
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Publications of the Research Institute for Mathematical Sciences 59 (3), 507-541, 2023-10-11
European Mathematical Society - EMS - Publishing House GmbH
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キーワード
詳細情報 詳細情報について
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- CRID
- 1050017655056238464
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- ISSN
- 16634926
- 00345318
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- HANDLE
- 2433/286955
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB