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May 17, 2011 at 19:03 comment added Jason Starr Of course I should hasten to add, I (as most complex geometers) define "Calabi-Yau" to mean that $h^{0,p}(X)$ equals $0$ except for $p=0$ and $p=n$ (use Berger's theorem to break up into Calabi-Yau, hyper-Kaehler and Abelian variety factors).
May 17, 2011 at 19:01 history answered Jason Starr CC BY-SA 3.0