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

Qin, Xiangsen
arXiv (All) · Papers
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algebraic-geometrycomplex-variables
Let $ω_{\mathrm{FS}}$ be the normalized Fubini--Study form on $\mathbf P^n$, with $n\geq2$. We prove that the one-pole Lelong-number range in $DMA(\mathbf P^n,ω_{\mathrm{FS}})$ is exactly $[0,1]$: for every $λ$ in this interval there is a Green function with a single pole, Monge--Ampère measure equa
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