The triviality of Brauer–Manin obstruction for subvarieties of semi-abelian varieties over function fields of characteristic zero
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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.
Mathematics Subject ClassificationPrimary: 11G35 Secondary: 14G25 14K12
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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