伪周期同胚与Riemann surfaces的退化
Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces
摘要：
我们将宣布两个定理。第一个定理将分类所有拓扑型退化纤维出现在单参数家庭的黎曼曲面，在"伪“表面同胚。第二个定理将给出这类同胚的映射类的共轭不变量的完备集。后一个结果意味着尼尔森的不变量集[{ \it Surface transformation classes of algebraically有限型}，Collected Papers 2，Birkhäuser（1986）]是不完整的。
英文摘要：
We will announce two theorems. The first theorem will classify all topological types of degenerate fibers appearing in one-parameter families of Riemann surfaces, in terms of ``pseudoperiodic'' surface homeomorphisms. The second theorem will give a complete set of conjugacy invariants for the mapping classes of such homeomorphisms. This latter result implies that Nielsen's set of invariants [{\it Surface transformation classes of algebraically finite type}, Collected Papers 2, Birkhäuser (1986)] is not complete.
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