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

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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",

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year = "2019",

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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.

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JO - Comptes Rendus Mathematique

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

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