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From this MSE question and its answer, and from this MO question I have learned of the following remarkable theorem of Wolfgang Fischer and Hans Grauert. Theorem. A proper holomorphic submersion with ...

Given a Stein manifold $Y$, there exists $\rho$, a $\mathscr C^2$-smooth strictly plurisubharmonic exhausting function for $Y$, such that the set of critical points $C=\{z\in Y\;:\;d\rho(z)=0\}$ is ...

I am reading this article by Bingyuan Liu on the Diederich-Fornæss index. I am having some problems with both the notation and the geometrical side. 1)I don't know what kind of objects $N,L$ are ...