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Holonomy of hypercomplex manifold

The following is a quote from M. Barberis, I. Dotti, M. Verbitsky, Canonical Boundles of Complex Nilmanifolds with Applications to Hypercomplex Geometry, Math. Res. Lett., 16(2), 331-347, 2009. "Not …
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4 votes
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Canonical bundle of twistor space

I am wondering whether there are cases, and if so whether some sufficient assumptions are know, when the twistor space of compact quaternionic/hypercomplex manifold has trivial canonical bundle. As th …
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