Embeddings of ℂ*-surfaces into weighted projective spaces

Hubert Flenner; Shulim Kaliman; Mikhail Zaidenberg

doi:10.1007/s00229-009-0315-y

Embeddings of ℂ^*-surfaces into weighted projective spaces

Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg

Mathematics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1007/s00229-009-0315-y
State	Published - 2010

ASJC Scopus subject areas

Mathematics(all)

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AU - Flenner, Hubert

AU - Kaliman, Shulim

AU - Zaidenberg, Mikhail

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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)

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