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arxiv: 1109.6512 · v1 · pith:ZCKJZRDOnew · submitted 2011-09-29 · 🧮 math.CV

Special polyhedra for Reinhardt domains

classification 🧮 math.CV
keywords domainpolyhedrapolynomialreinhardtspecialachievedapproximatedapproximation
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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.

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