• 제목/요약/키워드: dynamical Mordell-Lang conjecture

검색결과 1건 처리시간 0.018초

THE CRITICAL PODS OF PLANAR QUADRATIC POLYNOMIAL MAPS OF TOPOLOGICAL DEGREE 2

  • Misong Chang;Sunyang Ko;Chong Gyu Lee;Sang-Min Lee
    • 대한수학회보
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    • 제60권3호
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    • pp.659-675
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    • 2023
  • Let K be an algebraically closed field of characteristic 0 and let f be a non-fibered planar quadratic polynomial map of topological degree 2 defined over K. We assume further that the meromorphic extension of f on the projective plane has the unique indeterminacy point. We define the critical pod of f where f sends a critical point to another critical point. By observing the behavior of f at the critical pod, we can determine a good conjugate of f which shows its statue in GIT sense.