### 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) |
---|---|

Pages (from-to) | 265-274 |

Number of pages | 10 |

Journal | Manuscripta Mathematica |

Volume | 131 |

Issue number | 1-2 |

DOIs | |

State | Published - 2010 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

^{*}-surfaces into weighted projective spaces.

*Manuscripta Mathematica*,

*131*(1-2), 265-274. https://doi.org/10.1007/s00229-009-0315-y

**Embeddings of ℂ ^{*}-surfaces into weighted projective spaces.** / Flenner, Hubert; Kaliman, Shulim; Zaidenberg, Mikhail.

Research output: Contribution to journal › Article

^{*}-surfaces into weighted projective spaces',

*Manuscripta Mathematica*, vol. 131, no. 1-2, pp. 265-274. https://doi.org/10.1007/s00229-009-0315-y

^{*}-surfaces into weighted projective spaces. Manuscripta Mathematica. 2010;131(1-2):265-274. https://doi.org/10.1007/s00229-009-0315-y

}

TY - JOUR

T1 - Embeddings of ℂ*-surfaces into weighted projective spaces

AU - Flenner, Hubert

AU - Kaliman, Shulim

AU - Zaidenberg, Mikhail

PY - 2010

Y1 - 2010

N2 - 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)

AB - 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)

UR - http://www.scopus.com/inward/record.url?scp=77949775131&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77949775131&partnerID=8YFLogxK

U2 - 10.1007/s00229-009-0315-y

DO - 10.1007/s00229-009-0315-y

M3 - Article

AN - SCOPUS:77949775131

VL - 131

SP - 265

EP - 274

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

IS - 1-2

ER -