An analogue of Yi's theorem to holomorphic mappings
type: Item
instance of: scholarly article
title: An analogue of Yi's theorem to holomorphic mappings
zbMATH Open document ID: 0959.32030
author: Manabu Shirosaki
author: Masatsugu Ueda
published in: Proceedings of the Japan Academy. Series A
publication date: 2001-04-24T00:00:00Z
review text: In [\textit{H.-X.~Yi}, Kodai Math. J. 17, No. 1, 133-141 (1994; Zbl 0807.30017)], some answers are given for the Gross problem of uniqueness of entire functions with the same inverse images of two finite sets counting multiplicities. In this paper, an analogue of the Yi's uniqueness theorem for holomorphic mappings of \(\mathbb C\) into \(\mathbb P^n(\mathbb C)\) with the same inverse images of pairs of Fermat hypersurfaces is obtained.
Mathematics Subject Classification ID: 32H30
zbMATH DE Number: 1471665
zbMATH Keywords: holomorphic mappings into complex projective space
zbMATH Keywords: uniqueness theorem
zbMATH Keywords: Fermat hypersurfaces
zbMATH Keywords: counting multiplicities
reviewed by: Eleonora A. Storozhenko
MaRDI profile type: Publication
full work available at URL: pjaa.76.1
OpenAlex ID: W2065254961
cites work: Characterizing Yang-Mills fields by stochastic parallel transport
cites work: Q4197841
cites work: Q4337939
DOI: 10.3792/PJAA.76.1
description: scientific article; zbMATH DE number 1471665