Biholomorphisms between Hartogs domains over homogeneous Siegel domains

2018/04/10 by Aeryeong Seo, Seo, Aeryeong
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.1804.03389

10 pages

arxiv created 2018/04/10 · arxiv updated 2018/04/11

Abstract

In this paper, we characterize the Hartogs domains over homogeneous Siegel domains of type II and explicitly describe their automorphism groups. Moreover we prove that any proper holomorphic map between Hartogs domains over homogeneous Siegel domains over type II is a biholomorphism.

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