2 problems

Let $\omega\in[\omega_{FS}]$ be a Kähler metric on $\mathbb{C}P^n$ in the same cohomology class as the Fubini–Study metric $\omega_{FS}$. Let $(H,h)$ be the hyperplane bundle whose…

Let $\Omega\subset\mathbb C^n$ be a $C^\infty$-smooth bounded strongly pseudoconvex domain, and let $\partial\Omega$ denote its boundary. Consider the logarithmic term in the asymp…