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
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Embeddings of ℂ*-surfaces into weighted projective spaces. / Flenner, Hubert; Kaliman, Shulim; Zaidenberg, Mikhail.
In: Manuscripta Mathematica, Vol. 131, No. 1-2, 2010, p. 265-274.Research output: Contribution to journal › Article
}
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 -