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Purely Inseparable Extensions and Ramification Filtrations

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Abstract

In this article, we investigate the shift of Abbes and Saito’s ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extension. We also study a functoriality property for characteristic forms.

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Acknowledgements

The author is grateful to T. Saito for many useful comments and thank Y. Cao and J. P. Teyssier for discussions. The author was a postdoctoral fellow at the Max-Planck Institute of Mathematics in Bonn during preparing the article and he would like to thank the institute for the hospitality.

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  1. Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China

    Hao Yu Hu

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  1. Hao Yu Hu
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Hu, H.Y. Purely Inseparable Extensions and Ramification Filtrations. Acta. Math. Sin.-English Ser. 37, 35–58 (2021). https://doi.org/10.1007/s10114-019-8175-1

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  • DOI: https://doi.org/10.1007/s10114-019-8175-1

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