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Weak approximation for points with coordinates in rank-one subgroups of global function fields

  • Chia-Liang Sun,
    Institute of Mathematics, Academia Sinica , Room 626, 6F, Astronomy-Mathematics Building No. 1, Sec. 4 , Roosevelt Road, Taipei 10617, Taiwan
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Abstract

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: weak approximation, global function fields, local-global criteria weak approximation, global function fields, local-global criteria
MSC Classifications: 14G05, 11R58 show english descriptions Rational points
Arithmetic theory of algebraic function fields [See also 14-XX]
14G05 - Rational points
11R58 - Arithmetic theory of algebraic function fields [See also 14-XX]
 

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