What Are Examples of Calabi-Yau Four-Folds with H^(1,1)=1?

[aaron]

Hi,

Do you guys know any examples of Calabi-Yau four fold with H^(1,1)=1.
Thank you!

Aaron

 

[Volker Braun]

On Mon, 09 Oct 2006 16:13:24 -0400, aaron wrote:
> Do you guys know any examples of Calabi-Yau four fold with H^(1,1)=1.[/color]

Yes, we do.

Even though you did not ask for one, let me point out that the sextic in
P^5 is such an example. The Lefschetz hyperplane theorem easily yields
h^{1,1}=1.

Volker