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A Schmidt’s Subspace Theorem for Moving Hyperplane Targets Over Function Fields

  • Le Giang,
  • Tran Van Tan,
  • Nguyen Van Thin

摘要

The Schmidt subspace theorem has been studied extensively for both cases of fixed and moving targets in projective spaces over number fields and the case of fixed targets in projective spaces over function fields. This paper studies the case of function fields with moving targets; in particular, we extend the result of Min Ru and Paul Vojta in the Inventiones Mathematicae (1997) to the case of moving hyperplane targets in projective spaces over function fields.