论文标题
在无限生殖的riemann表面上的纤维产品上
On the fiber product over infinite-genus Riemann surfaces
论文作者
论文摘要
考虑非恒定全体形态映射$β_{i}：s_ {i} \ to s_ {0} $，$ i \ in \ {1,2 \} $，在非紧密的riemann表面之间$ s_ {1} \ times _ {（β_{1}，β_{2}）} s_ {2} $。在这种情况下，在本文中，我们将这种纤维产品的末端空间与普通纤维产品的末端空间相关联。此外，我们在地图上提供条件$β_{1} $和$β_{2} $，以确保在光纤产品上连接。从这些条件下，我们将光纤产品的末端空间与riemann表面的拓扑类型链接起来，$ s_ {1} $和$ s_ {2} $。我们还研究了无限的高纤维曲线的纤维产物，并讨论其连接性并结束空间。
Considering non-constant holomorphic maps $β_{i}:S_{i}\to S_{0}$, $i\in\{1,2\}$, between non-compact Riemann surfaces for which it is associated its fiber product $S_{1}\times_{(β_{1},β_{2})}S_{2}$. With this setting, in this paper we relate the ends space of such fiber product to the ends space of its normal fiber product. Moreover, we provide conditions on the maps $β_{1}$ and $β_{2}$ to guarantee connectednes on the fiber product. From these conditions, we link the ends space of fiber product with the topological type of the Riemann surfaces $S_{1}$ and $S_{2}$. We also study the fiber product over infinite hyperelliptic curves and discuss its connectedness and ends space.
