### Abstract

Let V be a normal affine surface which admits ℂ^{*} - and ℂ_{+} -actions. Such surfaces were classified e.g., in: Flenner and Zaidenberg (Osaka J Math 40:981-1009, 2003; 42:931-974), see also the references therein. In this note we show that in many cases V can be embedded as a principal Zariski open subset into a hypersurface of a weighted projective space. In particular, we recover a result of D. Daigle and P. Russell, see Theorem A in: Daigle and Russell (Can J Math 56:1145-1189, 2004)

Original language | English (US) |
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Pages (from-to) | 265-274 |

Number of pages | 10 |

Journal | Manuscripta Mathematica |

Volume | 131 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 1 2010 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Flenner, H., Kaliman, S., & Zaidenberg, M. (2010). Embeddings of ℂ

^{*}-surfaces into weighted projective spaces.*Manuscripta Mathematica*,*131*(1-2), 265-274. https://doi.org/10.1007/s00229-009-0315-y