Xiang-Sen Qin

Prescribed Lelong Numbers for One-Pole Green Functions on Complex Projective Space

Let $\omega_{\mathrm{FS}}$ be the normalized Fubini--Study form on $\mathbf P^n$, with $n\geq2$. We prove that the one-pole Lelong-number range in $DMA(\mathbf P^n,\omega_{\mathrm{FS}})$ is exactly $[0,1]$: for every $\lambda$ in this interval there is a Green function with a single pole, Monge--Amp\`ere measure equal...