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typo edited

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edited Oct 19 2010 at 7:30

This question made me wonder about the following:

Are there orientedly diffeomorphic Kähler manifolds with different Hodge numbers?

It seems that this would require that those manifolds are not deformation invariantequivalent. However, there are examples by Catanese and Manetti that that happens already for smooth projective surfaces.

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asked Oct 19 2010 at 6:44

Sándor Kovács
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Diffeomorphic Kähler manifolds with different Hodge numbers

This question made me wonder about the following:

Are there orientedly diffeomorphic Kähler manifolds with different Hodge numbers?

It seems that this would require that those manifolds are not deformation invariant. However, there are examples by Catanese and Manetti that that happens already for smooth projective surfaces.