Homogeneous Plurisubharmonic Polynomials in Higher Dimensions

2021/03/11 by Lars Simon, Simon, Lars
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.2103.06975

18 pages

arxiv created 2021/03/11 · arxiv updated 2021/03/15

Abstract

We prove several results on homogeneous plurisubharmonic polynomials on ℂⁿ, n∈ℤ_{≥ 2}. Said results are relevant to the problem of constructing local bumpings at boundary points of pseudoconvex domains of finite D'Angelo 1-type in ℂⁿ⁺¹.

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