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Results tagged with kahler-manifolds
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user 19071
Questions about Kähler manifolds and Kähler metrics.
3
votes
1
answer
879
views
What does the Kähler cone of the one-point blow-up of $\mathbb{C}P^n$ look like?
I found that related to the Kähler cone there are many discussions on MathOverflow.
Recently I am interested in the very special manifold of the one-point blow up of $\mathbb{C}P^n$ and just want to …
- 391
2
votes
1
answer
557
views
the existence of compact Kahler manifolds satisfying some Hodge numbers' restrictions
Given any $n\geq 2$, is there an example of $n$-dimensional compact Kahler manifold such that its Hodge numbers satisfy $h^{1,1} = h^{2,2} < h^{3,3} = h^{4,4} < h^{5,5} = h^{6,6} < \cdots h^{[\frac{n} …
- 391
3
votes
1
answer
458
views
A question about the existence of a constant scalar curvature metric on $\mathbb{C}P^n\#\ove...
We know that Calabi constructed some extremal metrics on $\mathbb{C}P^n\#\overline{\mathbb{C}P^n}$ which are not constant scalar curvature ones.
I just want to know given a Kähler class in $\mathbb{ …
- 391
4
votes
0
answers
389
views
The existence of compact Kähler manifolds satisfying $h^{1,1}=h^{2,2}$
Recently I have been thinking about a problem. During this process I faced a phenomenon which is related to those Kähler manifolds whose Hodge numbers satisfy $h^{1,1}=h^{2,2}$. Except $\mathbf{CP}^n$ …
- 391