7 problems

Let $M$ be a compact Kähler manifold of dimension $k$, and let $E$ be a holomorphic $\mathbb{B}^n$-bundle over $M$ embedded in the associated $\mathbb{CP}^n$-bundle $\widehat{E}$.…

Let $X$ be a weakly pseudoconvex Kähler complex space. Its regular locus is denoted by $X_{\operatorname{reg}}$, and an analytic subset of a complex space is denoted by $A$. Comple…

Let $q_0\in\mathcal{Q}_g$ be generic, meaning that $q_0$ lies in the principal stratum. Let $T^H_{q_0}\mathcal{Q}_g$ denote a horizontal lift determined by a guiding frame, and let…

Let $M\subset \mathbb{C}^n$ be a pseudoconvex real hypersurface with $n\geq 3$, let $1\leq s\leq n-2$, let $p\in M$, and let $B$ be a smooth complex vector subbundle of…

Let $M\subset \mathbb{C}^n$ be a pseudoconvex real hypersurface with $n\geq 3$. For $1\leq s\leq n-2$ and $p\in M$, write $t^{(s)}(M,p)$, $c^{(s)}(M,p)$ and $a^{(s)}(M,p)$ for the…

Let $D earrowmathbb{C}^n$ $(ngeq 2)$ be a bounded pseudoconvex domain whose boundary is $C^2$-smooth. Assume that $D$ has an open quotient of finite volume in the sense of Kähler–E…

Let $\Omega$ be a pseudoconvex domain in $\mathbb C^n$, let $w\in\Omega$, let $G_{\Omega,w}$ denote the pluricomplex Green's function of $\Omega$ with pole at $w$, and let…