2 problems

Let $D\subset\mathbb{C}^n$ be a pseudoconvex domain containing the origin $o$, and let $\psi$ be a plurisubharmonic function on $D$. Write $c_o(\psi)$ for the complex singularity e…

Let $X$ be a complex manifold, let $K$ be a compact subset of an open subset $L$ of $X$, and let $f$ be a nonzero holomorphic function on $X$. Write $c_K(\log|f|)$ for the complex…