Geodesic
Purely inseparable coverings of rational double points in positive characteristic
Journal of Singularities, Tome 24 (2022), pp. 79-95

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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.
DOI : 10.5427/jsing.2022.24b
Classification : 
@article{10_5427_jsing_2022_24b,
     author = {Yuya Matsumoto},
     title = {Purely inseparable coverings of rational double points in positive characteristic},
     journal = {Journal of Singularities},
     pages = {79--95},
     publisher = {mathdoc},
     volume = {24},
     year = {2022},
     doi = {10.5427/jsing.2022.24b},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.24b/}
}
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Yuya Matsumoto. Purely inseparable coverings of rational double points in positive characteristic. Journal of Singularities, Tome 24 (2022), pp. 79-95. doi: 10.5427/jsing.2022.24b

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