2011/09/29 by Alexander Rashkovskii, Rashkovskii, Alexander, Vyacheslav Zakharyuta +1
Mathematics · #32A07 #32U35 #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory
paper · doi:10.48550/arxiv.1109.6512
openalex publication_date 2011/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that every bounded hyperconvex Reinhardt domain can be approximated by special polynomial polyhedra defined by homogeneous polynomial mappings. This is achieved by means of approximation of the pluricomplex Green function of the domain with pole at the origin.