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• W3102199568 abstract "Let $M$ be a closed manifold that admits a self-cover $p:M to M$ of degree >1. We say p is strongly regular if all its iterates are regular covers. In this case, we establish an algebraic structure theorem for the fundamental group of $M$: We prove that $pi_1(M)$ surjects onto a nontrivial free abelian group $A$, and the self-cover is induced by a linear endomorphism of $A$. Under further hypotheses we show that a finite cover of $M$ admits the structure of a principal torus bundle. We show that this applies when $M$ is Kahler and $p$ is a strongly regular, holomorphic self-cover, and prove that a finite cover splits as a product with a torus factor." @default.
• W3102199568 created "2020-11-23" @default.
• W3102199568 creator A5029971134 @default.
• W3102199568 date "2018-04-05" @default.
• W3102199568 modified "2023-09-26" @default.
• W3102199568 title "Towers of regular self-covers and linear endomorphisms of tori" @default.
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• W3102199568 doi "https://doi.org/10.2140/gt.2018.22.2427" @default.
• W3102199568 hasPublicationYear "2018" @default.
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