Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771839 | Journal of Algebra | 2017 | 30 Pages |
Abstract
An Artin-Schreier covering of the affine plane is a hypersurface in A3 defined by an equation zpâz=f(x,y). Modeling on hypersurfaces of this type, we consider in the present article a normal affine domain B with a G:=Z/pZ-action which is written in the form B=A[z], zpâsz=a with s,aâA, where A=BG is the G-invariant subring. We also prove a classification result of Z/pZ-actions on the affine plane A2=Speck[x,y], which was first announced by S. Kuroda.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Masayoshi Miyanishi,