1
$\begingroup$

The complex moduli space of a Calabi-Yau manifold is a complex manifold (BTT). Is it also Kahler ?

Improve this question
$\endgroup$

2 Answers 2

Reset to default
11
$\begingroup$

Yes, see http://www.scholarpedia.org/article/Calabi-Yau_manifold#Moduli_of_high_dimensional_Calabi-Yau_manifolds

Improve this answer
$\endgroup$
0
1
$\begingroup$

Let $\mathcal M$ be a complex moduli space of a Calabi-Yau manifolds, then there is a symplectic metric on $\mathcal M$ which is known as Weil Petersson metric and Gang Tian showed that it is Kahler and later Georg Schomacher extended it for pair $(X,D)$ where $D$ is a divisor and proved that logarithmic Weil petersson metric on Log Fano varieties is also Kahler.

See here

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .