Homotopic equivalence of rational proper holomorphic discs of bounded symmetric domains of type I

Aeryeong Seo

doi:10.1016/j.crma.2019.06.005

Homotopic equivalence of rational proper holomorphic discs of bounded symmetric domains of type I

Aeryeong Seo

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

1 Scopus citations

Abstract

We characterize homotopy classes of rational proper holomorphic Shilov maps from the unit disc to bounded symmetric domains of type I through rational proper holomorphic Shilov discs. This characterization generalizes results of D'Angelo–Huo–Xiao and D'Angelo–Lebl, where the codomains are the unit balls.

Original language	English
Pages (from-to)	528-532
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	357
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2019.06.005
State	Published - Jun 2019

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title = "Homotopic equivalence of rational proper holomorphic discs of bounded symmetric domains of type I",

abstract = "We characterize homotopy classes of rational proper holomorphic Shilov maps from the unit disc to bounded symmetric domains of type I through rational proper holomorphic Shilov discs. This characterization generalizes results of D'Angelo–Huo–Xiao and D'Angelo–Lebl, where the codomains are the unit balls.",

author = "Aeryeong Seo",

note = "Publisher Copyright: {\textcopyright} 2019 Acad{\'e}mie des sciences",

year = "2019",

month = jun,

doi = "10.1016/j.crma.2019.06.005",

language = "English",

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AU - Seo, Aeryeong

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N2 - We characterize homotopy classes of rational proper holomorphic Shilov maps from the unit disc to bounded symmetric domains of type I through rational proper holomorphic Shilov discs. This characterization generalizes results of D'Angelo–Huo–Xiao and D'Angelo–Lebl, where the codomains are the unit balls.

AB - We characterize homotopy classes of rational proper holomorphic Shilov maps from the unit disc to bounded symmetric domains of type I through rational proper holomorphic Shilov discs. This characterization generalizes results of D'Angelo–Huo–Xiao and D'Angelo–Lebl, where the codomains are the unit balls.

UR - https://www.scopus.com/pages/publications/85067525333

U2 - 10.1016/j.crma.2019.06.005

DO - 10.1016/j.crma.2019.06.005

M3 - Article

AN - SCOPUS:85067525333

SN - 1631-073X

VL - 357

SP - 528

EP - 532

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 6

ER -

Homotopic equivalence of rational proper holomorphic discs of bounded symmetric domains of type I

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