非球面流形、Mellin变换和一个Bobadilla-Kollár问题
Aspherical manifolds, Mellin transformation and a question of Bobadilla-Kollár
摘要：
在他们2012年的论文中，Bobadilla和Kollár研究了保证复代数簇的真映射是拓扑纤维化或可微纤维化的拓扑条件。他们还问，相对覆盖空间上的某种有限性是否意味着一个真映射是纤维化。本文在阿贝尔簇的情形下肯定地回答了他们问题的积分同调形式，在紧球簇的情形下肯定地回答了他们问题的有理同调形式。我们还提出了几个有关的Singer-Hopf猜想在复杂的射影设置。
英文摘要：
In their 2012 paper, Bobadilla and Kollár studied topological conditions which guarantee that a proper map of complex algebraic varieties is a topological or differentiable fibration. They also asked whether a certain finiteness property on the relative covering space can imply that a proper map is a fibration. In this paper, we answer positively the integral homology version of their question in the case of abelian varieties, and the rational homology version in the case of compact ball quotients. We also propose several conjectures in relation to the Singer-Hopf conjecture in the complex projective setting.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
