Proper holomorphic polynomial maps between bounded symmetric domains of classical type

Aeryeong Seo

doi:10.1090/proc12755

Proper holomorphic polynomial maps between bounded symmetric domains of classical type

Aeryeong Seo

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

3 Scopus citations

Abstract

We prove that two proper holomorphic polynomial maps between bounded symmetric domains of classical type which preserve the origin are equivalent if and only if they are isotropically equivalent. Using this property we show that each member of a one-parameter family of maps from a 2015 paper by the author is inequivalent.

Original language	English
Pages (from-to)	739-751
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	2
DOIs	https://doi.org/10.1090/proc12755
State	Published - Feb 2016

Keywords

Bounded symmetric domain
Classical type
Proper holomorphic map

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10.1090/proc12755

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title = "Proper holomorphic polynomial maps between bounded symmetric domains of classical type",

abstract = "We prove that two proper holomorphic polynomial maps between bounded symmetric domains of classical type which preserve the origin are equivalent if and only if they are isotropically equivalent. Using this property we show that each member of a one-parameter family of maps from a 2015 paper by the author is inequivalent.",

keywords = "Bounded symmetric domain, Classical type, Proper holomorphic map",

author = "Aeryeong Seo",

note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",

year = "2016",

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AB - We prove that two proper holomorphic polynomial maps between bounded symmetric domains of classical type which preserve the origin are equivalent if and only if they are isotropically equivalent. Using this property we show that each member of a one-parameter family of maps from a 2015 paper by the author is inequivalent.

KW - Bounded symmetric domain

KW - Classical type

KW - Proper holomorphic map

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DO - 10.1090/proc12755

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JO - Proceedings of the American Mathematical Society

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Proper holomorphic polynomial maps between bounded symmetric domains of classical type

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Keywords

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