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 - 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