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Characterizations of hypersurfaces of a Danielewski type

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Publication:392481
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DOI10.1016/J.JPAA.2013.08.002zbMath1291.14089OpenAlexW1992304443MaRDI QIDQ392481

Kayo Masuda

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2013.08.002


zbMATH Keywords

locally nilpotent derivationfactorial domainDanielewski surfaceaffine domain


Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Group actions on affine varieties (14R20)


Related Items (4)

Affine threefolds with \(\mathbb{A}^{2}\)-fibrations ⋮ Families of hypersurfaces with noncancellation property ⋮ Locally nilpotent derivations of factorial domains ⋮ Factorial affine \(G_{\alpha}\)-varieties isomorphic to hypersurfaces of Danielewski type




Cites Work

  • A remark on the unique factorization theorem
  • Locally nilpotent derivations and Danielewski surfaces
  • On locally nilpotent derivations of \(k[X_{1},X_{2},Y/ (\varphi(Y)-X_{1} X_{2})\). -- Appendix: Rationality of certain affine plane curves.]
  • Algebraic theory of locally nilpotent derivations




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