Characterizations of hypersurfaces of a Danielewski type |
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Authors: | Kayo Masuda |
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Affiliation: | Department of Mathematical Sciences, Faculty of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda 669-1337, Japan |
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Abstract: | Let k be a field of characteristic zero and R a factorial affine k-domain. Let B be an affineR-domain. In terms of locally nilpotent derivations, we give criteria for B to be R-isomorphic to the residue ring of a polynomial ring R[X1,X2,Y] over R by the ideal (X1X2−φ(Y)) for φ(Y)∈R[Y]?R. |
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Keywords: | Primary, 14R20 secondary, 13N15 |
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