The $L^2$ Volume of the Space of Holomorphic Maps from Kähler Riemann Surfaces to ${\mathbb{CP}}^k$

Chih-Chung Liu

We prove the conjectural formula for the $L^2$ volume of the space of degree $r$ holomorphic maps from a compact Kähler Riemann surface of genus $b$ to $\pk$. This formula was pose…