Biholomorphisms between Hartogs domains over homogeneous Siegel domains

Aeryeong Seo

doi:10.1142/S0129167X1850057X

Biholomorphisms between Hartogs domains over homogeneous Siegel domains

Aeryeong Seo

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 equidimensional Hartogs domains over homogeneous Siegel domains of type II is a biholomorphism.

Original language	English
Article number	1850057
Journal	International Journal of Mathematics
Volume	29
Issue number	8
DOIs	https://doi.org/10.1142/S0129167X1850057X
State	Published - 1 Jul 2018

Keywords

Biholomorphism
Hartogs domain
homogeneous Siegel domain
proper holomorphic map

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10.1142/S0129167X1850057X

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title = "Biholomorphisms between Hartogs domains over homogeneous Siegel domains",

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 equidimensional Hartogs domains over homogeneous Siegel domains of type II is a biholomorphism.",

keywords = "Biholomorphism, Hartogs domain, homogeneous Siegel domain, proper holomorphic map",

author = "Aeryeong Seo",

note = "Publisher Copyright: {\textcopyright} 2018 World Scientific Publishing Company.",

year = "2018",

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AU - Seo, Aeryeong

PY - 2018/7/1

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AB - 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 equidimensional Hartogs domains over homogeneous Siegel domains of type II is a biholomorphism.

KW - Biholomorphism

KW - Hartogs domain

KW - homogeneous Siegel domain

KW - proper holomorphic map

UR - https://www.scopus.com/pages/publications/85051025802

U2 - 10.1142/S0129167X1850057X

DO - 10.1142/S0129167X1850057X

M3 - Article

AN - SCOPUS:85051025802

SN - 0129-167X

VL - 29

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 8

M1 - 1850057

ER -

Biholomorphisms between Hartogs domains over homogeneous Siegel domains

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Keywords

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