Embeddings of C*-surfaces into weighted projective spaces

作者：Flenner Hubert; Kaliman Shulim; Zaidenberg Mikhail^*

来源：Manuscripta Mathematica, 2010, 131(1-2): 265-274.

DOI：10.1007/s00229-009-0315-y

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 TheoremAin: Daigle and Russell (Can J Math 56:1145-1189, 2004).

• 出版日期2010-1