Geodesic
Weak Approximation for Points with Coordinates in Rank-one Subgroups of Global Function Fields
Canadian mathematical bulletin, Tome 61 (2018) no. 4, pp. 878-890

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DOI

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.
DOI : 10.4153/CMB-2018-008-3
Mots-clés : 14G05, 11R58, weak approximation, global function fields, local-global criteria 
Sun, Chia-Liang. Weak Approximation for Points with Coordinates in Rank-one Subgroups of Global Function Fields. Canadian mathematical bulletin, Tome 61 (2018) no. 4, pp. 878-890. doi: 10.4153/CMB-2018-008-3
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     title = {Weak {Approximation} for {Points} with {Coordinates} in {Rank-one} {Subgroups} of {Global} {Function} {Fields}},
     journal = {Canadian mathematical bulletin},
     pages = {878--890},
     year = {2018},
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     number = {4},
     doi = {10.4153/CMB-2018-008-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-008-3/}
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