Holomorphic Invariance of Stein Neighborhood Bases

  • Erwin Schrödinger International
  • Published 2007
Let Ω be a smooth bounded pseudoconvex domain in Cn. We give several characterizations for the closure of Ω to have a Stein neighborhood basis in the sense that Ω has a defining function ρ such that {z ∈ Cn : ρ(z) < ε} is pseudoconvex for sufficiently small ε > 0. We also show that this condition is invariant under proper holomorphic maps that extend… CONTINUE READING