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Sep 6, 2017 at 10:40 answer added Nick L timeline score: 1
Sep 3, 2017 at 19:31 comment added Jason Starr Since every hyperKaehler variety has even dimension, you should specify that $n$ is even.
Sep 1, 2017 at 19:16 comment added abx I suppose you want your morphism $H\rightarrow X^n$ to be surjective. Now usually hyperkähler varieties are assumed to be simply connected by definition; then a trivial counter-example is $X=C\times \mathbb{P}^1$, with $C$ a curve of genus $\geq 1$. The question makes more sense if you assume that $X$ is Fano.
Sep 1, 2017 at 18:10 review First posts
Sep 1, 2017 at 19:16
Sep 1, 2017 at 18:05 history asked Unboundedly CC BY-SA 3.0