Pseudoconvexity is a two-dimensional phenomenon

2009/07/07 by Robert Jacobson, Jacobson, Robert
Computer Science · #32T05 #Complex Variables (math.CV) #FOS: Mathematics #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.0907.1304

openalex publication_date 2009/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An open set in Cⁿ is pseudoconvex if and only if its intersection with every affine subspace of complex dimension two as seen as an open set in C² is pseudoconvex.

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