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Oct 20, 2016 at 13:44 comment added pgraf You are right. I was making that remark only since the OP asked about an explicit description of $Y/G$.
Oct 18, 2016 at 14:15 comment added Francesco Polizzi Well, an affine quadric cone in $\mathbb{A}^3$ minus its vertex is a $\mathbb{C}^*$-bundle over $\mathbb{P}^1$, or am I missing something?
Oct 18, 2016 at 14:09 comment added pgraf $Y/G$ is the total space of $\mathcal O_{\mathbb P^1}(-2)$ minus its zero section, a $\mathbb C^*$-bundle over $\mathbb P^1$ without a section.
Oct 18, 2016 at 13:04 vote accept Miele
Oct 18, 2016 at 13:02 history answered Francesco Polizzi CC BY-SA 3.0