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Arithmetic of Ch^atelet surface bundles revisited

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 Added by Yongqi Liang
 Publication date 2021
  fields
and research's language is English
 Authors Yongqi Liang




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We study arithmetic of the algebraic varieties defined over number fields by applying Lagrange interpolation to fibrations. Assuming a conjecture of M. Stoll, we show, for Ch^atelet surface bundles over curves, that the violation of Hasse principle being accounted for by the Brauer-Manin obstruction is not invariant under an arbitrary finite extension of the ground field.



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