Sharp Dimension Estimates of Holomorphic Functions and Rigidity

Bing-Long Chen, Xiao-Yong Fu, Le Yin +1

Let $M^n$ be a complete noncompact K$\ddot{a}$hler manifold of complex dimension $n$ with nonnegative holomorphic bisectional curvature. Denote by $\mathcal{O}$${}_d(M^n)$ the space…