Questions tagged [lelong-number]
The Lelong number is an invariant of a point of a complex analytic variety that in some sense measures the local density at that point.
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Lelong numbers and integrability of psh functions
Let $\varphi$ be a plurisubharmonic function in the unit ball $B_1\subset \mathbb{C}^n$ with $\varphi\le 0$. Suppose that the Lelong number $\nu(\varphi,0)<k$ for some $k>0$. Does it follow that ...
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Lelong number of curvature of Kawamata's hermitian metric
Let $X,Y$ are two projective varieties and $f:X\to Y$ is an Iitaka
fibration. Consider the following singular hermitian metric
$$h(\sigma,\sigma)=\left(\int_{X_y}|\sigma|^{\frac{2}{m!}}\right)^{m!}...
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