A characterization of the complex Euclidean space by its holomorphic automorphism group

1.Kodara和Shimizu研究了复流形的全纯自同构群Aut(M)刻画的一个基本问题。特别地，他们明确了AUT(M)同构于AUT(C^k×(C^*)·L)作为拓扑群的复流形的结构；作为其方法的应用，他们还得到了关于具有酉群直积的全纯作用的复流形结构的一些新结果。2.Okuyama研究了有理函数和超越整函数的点的无理无关循环的线性化问题，得到了一些新的基本结果。3.Imayoshi研究了黎曼曲面族的单纯性问题，得到了一些新的结果。并且，野口研究了全纯曲线的值分布和有理点，得到了新的结果。期望他的结果在小林双曲流形的研究中有广泛的应用。

1.Kodama and Shimizu studied a fundamental problem on a characterization of complex manifold by its holomorphic automorphism group Aut(M). In particular, they clearified the structure of complex manifold M with Aut(M) isomorphic to Aut(C^k×(C^*)^l) as topological groups ; and also, as an application of their method, they obtained some new results on the structure of complex manifold admitting a holomorphic action of the direct product of unitary groups.2.Okuyama studied the linearlization problem for irrationally indifferent cycle of points of rational functions and transcendental entire functions, and obtained some new fundamental results.3.Imayoshi studied some problems on the monodromy of holomorphic families of Riemann surfaces, and he obtained some new results. And, Noguchi studied the value distribution and rational points of holomorphic curves, and obtained new results. It is expected that his results have various applications in the study on Kobayashi hyperbolic manifolds.