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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

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?
pickasa's user avatar
  • 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
pickasa's user avatar
  • 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 …
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  • 99