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Results tagged with kahler-manifolds
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user 81679
Questions about Kähler manifolds and Kähler metrics.
3
votes
1
answer
245
views
projectivity with assumption of big and semi-amplness
Let $X$ be a compact Kaehler manifold with $D$ be an effective divisor on $X$ such that $K_X+D$ is semi-ample and big then $X$ is projective?
- 99
2
votes
1
answer
549
views
quotient singularities
Let $X$ be a relaively compact projective variety and has only quotient singularities then for any n-form $\Omega$ , $$\int_{X_{reg}}\Omega\wedge \bar \Omega$$ is bounded? what about the converse
- 99
3
votes
0
answers
198
views
$L^2$ extension theorem
Is there an Ohsawa-Takagushi $L^2$-Extension theorem for Kahler manifolds? For projective varieties Siu-Paun proved:
Let $\pi \colon X \to \mathbb D$ be a projective family of $n$-folds and $X_0$ be …
- 99