Skip to main content
MathOverflow

Return to Question

replaced http://mathoverflow.net/ with https://mathoverflow.net/
Source Link
Community Bot
Community Bot
  • 1
  • 2
  • 3

ThisThis 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 equivalent. However, there are examples by Catanese and Manetti that that happens already for smooth projective surfaces.

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 equivalent. However, there are examples by Catanese and Manetti that that happens already for smooth projective surfaces.

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 equivalent. However, there are examples by Catanese and Manetti that that happens already for smooth projective surfaces.

typo edited
Source Link
Sándor Kovács
Sándor Kovács
  • 42.9k
  • 2
  • 109
  • 155

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.

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.

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 equivalent. However, there are examples by Catanese and Manetti that that happens already for smooth projective surfaces.

Source Link
Sándor Kovács
Sándor Kovács
  • 42.9k
  • 2
  • 109
  • 155

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.