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Sep 7, 2020 at 18:41 comment added Robert Bryant @FrancescoPolizzi: Yes, of course, though, perhaps just as simple: Suppose that $X$ and $Y$ are compact Kähler and that $Y$ has even complex dimension and an antiholomorphic isometric involution $f$ and take $\mathrm{id}_X{\times} f : X{\times} Y\to X{\times}Y$.
Sep 7, 2020 at 17:51 comment added Francesco Polizzi More generally, in the spirit of Jason's comment, could we take $\mathrm{id} \times f \times f$ on $X \times X \times X$, where $X$ is compact Kaehler and $f \colon X \to X$ is an anti-holomorphic isometric involution?
Sep 7, 2020 at 17:00 vote accept CommunityBot
Sep 7, 2020 at 16:44 history answered Robert Bryant CC BY-SA 4.0