摘要
On a complete noncompact Kähler manifold M^(n)(complex dimension)with non-negative Ricci curvature and Euclidean volume growth,we prove that polynomial growth holomorphic functions of degree d has an dimension upper bound cdn,where c depends only on n and the asymptotic volume ratio.Note that the power is sharp.
基金
Finally,he thanks the anonymous referees for improving the readability of the paper.The author was partially supported by NSFC No.12071140
Program of Shanghai Academic/Technology Research Leader No.20XD1401500
and the Science and Technology Commission of Shanghai Municipality No.18dz2271000,as well as the Xplore Prize by Tencent.
