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Timeline for Convexity of a cone in CxC

Current License: CC BY-SA 2.5

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Jul 26, 2019 at 23:20 review Close votes
Aug 4, 2019 at 3:05
Apr 6, 2011 at 17:31 comment added Roland Bacher Counterexample: Take $(1,1+1000i)$ and $(1000-1000i,1)$. Both work. Their midpoint $(1001/2-500i,1+500i)$ is not in your set.
Apr 6, 2011 at 17:24 comment added Roland Bacher Sorry, wrong (I forgot to take the real part).
Apr 6, 2011 at 16:59 comment added Roland Bacher Your condition amounts to $\xi=\rho_1e^{i\theta}$, $\zeta=\rho_2e^{i\theta}$ which is a (real) convex subset of $\mathbb C^2$.
Apr 6, 2011 at 16:41 history asked nonameisfinetoo CC BY-SA 2.5