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Dimension estimate of polynomial growth holomorphic functions
时间  Datetime
2019-12-17 14:00 — 15:00 
地点  Venue
813
报告人  Speaker
刘钢
单位  Affiliation
华东师范大学
邀请人  Host
来米加
报告摘要  Abstract

On a complete noncompact Kaehler manifold M^n (complex dimension) with nonnegative Ricci curvature and Euclidean volume growth, we prove that polynomial growth holomorphic functions of degree d has an dimension upper bound $cd^n$, where $c$ depends only $n$ and the asymptotic volume ratio. Note the power is sharp.