Aspherical manifolds, Mellin transformation and a question of Bobadilla–Kollár
Aspherical manifolds, Mellin transformation and a question of Bobadilla–Kollár
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DOI：
10.1515/crelle-2021-0055
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发表时间：
2021
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影响因子：
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通讯作者：
Botong Wang
中科院分区：
文献类型：
--
作者：
Yongqiang Liu;Laurenţiu Maxim;Botong Wang
In their paper from 2012, 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.
