超越椭圆曲面到有限修改曲面的解析映射之投影族

Projection families of analytic mappings from transcendental elliptic surfaces to finitely-deformed surfaces

设Ｒ和Ｓ为两个超越椭圆黎曼曲面。Ｓ表示Ｓ的有限修改曲面。文中主要讨论了Ｒ到Ｓ和Ｒ到Ｓ的解析映射之投影和投影间的关系可能发生的各种情形。可作为对过去只在最大Ｐｉｃａｒｄ常数下之研究的重要补充。

Let R and S be transcendental elliptic Riemannian surfaces. Let S denote the finitely deformed surface of S. In this paper the relation between the projections of analytic mappings from R to S and that from R to S is studied. The results are supplementary to the corresponding results under maximum Picard constants.