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KUMMER COVERINGS AND SPECIALISATION
Journal of the Institute of Mathematics of Jussieu ( IF 0.9 ) Pub Date : 2021-03-01 , DOI: 10.1017/s1474748020000511
Martin Olsson 1
Affiliation  

We prove versions of various classical results on specialisation of fundamental groups in the context of log schemes in the sense of Fontaine and Illusie, generalising earlier results of Hoshi, Lepage and Orgogozo. The key technical result relates the category of finite Kummer étale covers of an fs log scheme over a complete Noetherian local ring to the Kummer étale coverings of its reduction.

中文翻译:

KUMMER 覆盖和专业化

我们在 Fontaine 和 Illusie 的意义上证明了对数方案背景下基本组专业化的各种经典结果的版本,概括了 Hoshi、Lepage 和 Orgogozo 的早期结果。关键技术结果将完整 Noetherian 局部环上 fs 对数方案的有限 Kummer étale 覆盖类别与其约简的 Kummer étale 覆盖联系起来。
更新日期:2021-03-01
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