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Nov 24, 2019 at 11:33 comment added Jef Thanks! I have edited the answer
Nov 24, 2019 at 11:32 history edited Jef CC BY-SA 4.0
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Nov 18, 2019 at 22:32 vote accept Zhiwei Zheng
Nov 18, 2019 at 22:32 comment added Zhiwei Zheng Thank you! The fact that weighted projective space is toric is useful to me. I think there is a small problem with your argument: the kernel of the action is not trivial, it is the product of some finite cyclic groups. But that's fine because the quotient of $\mathbb{G}_m$ by $\mu_k$ is isomorphic to $\mathbb{G}_m$.
Nov 18, 2019 at 16:27 history answered Jef CC BY-SA 4.0