• Title/Summary/Keyword: Fridman invariant

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A NOTE ON THE BOUNDARY BEHAVIOUR OF THE SQUEEZING FUNCTION AND FRIDMAN INVARIANT

  • Kim, Hyeseon;Mai, Anh Duc;Nguyen, Thi Lan Huong;Ninh, Van Thu
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1241-1249
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    • 2020
  • Let Ω be a domain in ℂn. Suppose that ∂Ω is smooth pseudoconvex of D'Angelo finite type near a boundary point ξ0 ∈ ∂Ω and the Levi form has corank at most 1 at ξ0. Our goal is to show that if the squeezing function s(𝜂j) tends to 1 or the Fridman invariant h(𝜂j) tends to 0 for some sequence {𝜂j} ⊂ Ω converging to ξ0, then this point must be strongly pseudoconvex.