论文标题
单一形式和同源纤维的零
Zeros of one-forms and homologically trivial fibrations
论文作者
论文摘要
我们表明，在紧凑的kähler歧管上，kotschick的猜想是在不带零的零片的情况下进行的，这是从bobadilla和kollár的简单阿尔巴尼斯圆环的情况下，关于同种琐事的猜想。作为一种应用，我们证明了Kotschick对紧凑型Kähler歧管的猜想X，其第一个Betti编号至少为2DIM（X）-2，而Albanese Torus很简单。
We show that a conjecture of Kotschick about one-forms without zeros on compact Kähler manifolds follows in the case of simple Albanese torus from a conjecture of Bobadilla and Kollár about homologically trivial fibrations. As an application, we prove Kotschick's conjecture for compact Kähler manifolds X whose first betti number is at least 2dim(X)-2 and Albanese torus is simple.
