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<p>The aim of this paper is to compare singularities of closed positive currents whose non-pluripolar complex Monge–Ampère masses are equal. We also provide a short alternative proof for the monotonicity of non-pluripolar complex Monge–Ampère masses, generalizing results of Witt-Nyström, Darvas–Di Nezza–Lu, Lu–Nguyên and Vu.</p>

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Singularities vs non-pluripolar Monge–Ampère masses

  • 期刊论文

  • 发表日期：

    2025年9月4日

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  • Quang-Tuan Dang,
  • Hoang-Son Do,
  • Hoang Hiep Pham

摘要

The aim of this paper is to compare singularities of closed positive currents whose non-pluripolar complex Monge–Ampère masses are equal. We also provide a short alternative proof for the monotonicity of non-pluripolar complex Monge–Ampère masses, generalizing results of Witt-Nyström, Darvas–Di Nezza–Lu, Lu–Nguyên and Vu.