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A Schmidt's subspace theorem for moving hyeprplane targets over function fields

Le Giang, Tran Van Tan, Nguyen Van Thin

Abstract

In this paper, we establish a Schmidt's subspace theorem for moving hyeprplane targets in projective spaces over function fields.

A Schmidt's subspace theorem for moving hyeprplane targets over function fields

Abstract

In this paper, we establish a Schmidt's subspace theorem for moving hyeprplane targets in projective spaces over function fields.
Paper Structure (2 sections, 3 theorems, 52 equations)

This paper contains 2 sections, 3 theorems, 52 equations.

Table of Contents

  1. Introduction
  2. Proof of Theorem \ref{['th1']}

Key Result

Lemma 1

There exists an infinite subset $A\in\Lambda$ which is coherent with respect to $(H_1,\ldots, H_q)$.

Theorems & Definitions (10)

  • Definition 1
  • Definition 2
  • Remark 3
  • Lemma 1
  • Definition 4
  • Remark 5
  • Definition 6
  • Theorem 7
  • Lemma 2
  • proof : Proof of Theorem \ref{['th1']}