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Title: Construction of Non-×μ-Indivisible TKND-AVKF-Fields
Authors: TSUJIMURA, Shota
Author's alias: 辻村, 昇太
Keywords: 14K15
abelian variety
finiteness of torsion points
divisible element
Issue Date: Jun-2021
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Start page: 1
End page: 12
Thesis number: RIMS-1949
Abstract: In an author's joint work with Hoshi and Mochizuki, we introduced the notion of TKND-AVKF- fields [concerning the divisible subgroups of the groups of rationalpoints of semi-abelian varieties] and obtained an anabelian Grothendieck Conjecture-type result for higher dimensional con guration spaces associated to hyperbolic curvesover TKND-AVKF- fields. On the other hand, every concrete example of TKND-AVKF-fields. that appears in this joint work is a ×μ-indivisible eld [i.e., a eld such that anydivisible element of the multiplicative group of the eld is a root of unity]. In the presentpaper, we construct new examples of TKND-AVKF-fields that are not ×μ-indivisible.
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Appears in Collections:Research Institute for Mathematical Sciences, preprints

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