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edited title; added 8 characters in body

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edited Apr 21 2010 at 11:20

Is every Are any two K3 surface surfaces over C diffeomorphic?

Let S $S$ be a K3 surface over $\mathbb{C}$, that is, S $S$ is a simply connected compact smooth complex surface whose canonical bundle is trivial. I recall reading somewhere that any two such surfaces are diffeomorphic, however I can't for the life of me remember where, or how the proof goes.

Does anybody know a good reference to a proof, or can provide a proof?

Thanks, Dan

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asked Apr 21 2010 at 11:13

Daniel Loughran
2,591●7●18

Is every K3 surface over C diffeomorphic?

Let S be a K3 surface over $\mathbb{C}$, that is, S is a simply connected compact smooth complex surface whose canonical bundle is trivial. I recall reading somewhere that any two such surfaces are diffeomorphic, however I can't for the life of me remember where, or how the proof goes. Does anybody know a good reference to a proof, or can provide a proof?

Thanks, Dan