Abstract
For every semi-abelian variety over a function field K of characteristic zero, we show that any subgroup of its S-integral K-valued points is discrete in the product of its local points over an infinite set of places of K, where S is a finite set of places of K.
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Acknowledgements
This research is motivated by a reviewing question on Research Plan 107-2115-M-001-013-MY2 of Ministry of Science and Technology in Taiwan, During the period of writing up this paper, I am supported by both the above plan and Research Plan 104-2115-M-001-012-MY3 of Ministry of Science and Technology in Taiwan.
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Sun, CL. The triviality of Brauer–Manin obstruction for subvarieties of semi-abelian varieties over function fields of characteristic zero. manuscripta math. 160, 385–389 (2019). https://doi.org/10.1007/s00229-019-01130-z
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DOI: https://doi.org/10.1007/s00229-019-01130-z