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Oct 14, 2016 at 9:56 vote accept Bernie
Oct 5, 2016 at 9:49 history edited Libli CC BY-SA 3.0
I missed the fact tha the action described in the question switches $\lambda$ and $\mu$. I will cirect accordingly.
Oct 5, 2016 at 9:43 history edited Libli CC BY-SA 3.0
I missed the fact tha the action described in the question switches $\lambda$ and $\mu$. I will cirect accordingly.
Oct 5, 2016 at 9:29 history edited Libli CC BY-SA 3.0
I missed the fact tha the action described in the question switches $\lambda$ and $\mu$. I will cirect accordingly.
Oct 5, 2016 at 9:26 comment added Libli Oh sorry I missed the fact that your action switches $\lambda$ and $\mu$. I will corect my answer.
Oct 5, 2016 at 7:48 comment added Bernie Okay, thanks. That is a little bit illuminating. But why does $\sigma_2$ have the whole $\mathbb{P}^1$ in the fixed locus? It switches the coordinates, so shouldn't only the points $[1:1]$ and $[1:-1]$ be fixed? And what about the element $\sigma_3$ it maps $(x,y,[l:m])$ to $(-x,-y,[-m:l])$ so there we have fixed points $[1:i]$ and $[1:-i]$ lying over the point $x=y=0$. This singularity looks more complicated. How to describe it?
Oct 4, 2016 at 20:52 history answered Libli CC BY-SA 3.0