Sharp dimension counting on holomorphic functions of polynomial growth
Lei Ni
University of California, San Diego,
USA
Abstract
In middle 70's Professor Siu and Yau initiated the program on the uniformization of complete Kaehler manifolds with nonnegative curvature. The sharp dimension estimate on the holomorphic functions of polynomial growth is an important step of the program. It is also conjectured by Yau in his problem list later on. We will report on the recent solution of this problem.