阿贝尔覆盖中挠率的指数增长性
Exponential growth of torsion in Abelian coverings
摘要:
研究了有限阿贝尔覆盖塔中同调扭子群阶的增长性。特别地,当第一个非零的Alexander多项式具有正对数Mahler测度时,证明了当塔收敛于链补的最大自由阿贝尔覆盖时,它是指数的.
英文摘要:
We study the growth of the order of torsion subgroups of the homology in a tower of finite abelian coverings. In particular, we prove that it is exponential for when the tower converges to the maximal free abelian cover of a link complement when the first nonzero Alexander polynomial has positive logarithmic Mahler measure.
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