Purely inseparable coverings of rational double points in positive characteristic

Yuya Matsumoto

Journal of Singularities
volume 24 (2022), 79-95

Received: 15 October 2021. Received in revised form: 20 January 2022.

DOI: 10.5427/jsing.2022.24b

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Abstract:

We classify purely inseparable morphisms of degree p between rational double points (RDPs) in characteristic p > 0. Using such morphisms, we refine a result of Artin that any RDP admits a finite smooth covering.

2010 Mathematical Subject Classification:

Primary 14J17; Secondary 14L30

Author(s) information:

Yuya Matsumoto
Department of Mathematics
Faculty of Science and Technology
Tokyo University of Science
2641 Yamazaki, Noda, Chiba, 278-8510, Japan
email: matsumoto_yuya@ma.noda.tus.ac.jp
email: matsumoto.yuya.m@gmail.com