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Weak Approximation for Points with Coordinates in Rank-one Subgroups of Global Function Fields

Published online by Cambridge University Press:  20 November 2018

Chia-Liang Sun
Chia-Liang Sun*
Affiliation:
Institute of Mathematics, Academia Sinica, Room 626, 6F, Astronomy-Mathematics Building No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan, e-mail : csun@math.sinica.edu.tw
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Abstract

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For every affine variety over a global function field, we show that the set of its points with coordinates in an arbitrary rank-one multiplicative subgroup of this function field satisfies the required property of weak approximation for finite sets of places of this function field avoiding arbitrarily given finitely many places.

Keywords

14G0511R58weak approximationglobal function fieldslocal-global criteria
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 4 , 01 December 2018 , pp. 878 - 890
Copyright
Copyright © Canadian Mathematical Society 2018

References

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