An analogue of Yi's theorem to holomorphic mappings (Q1570245)
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scientific article; zbMATH DE number 1471665
| Language | Label | Description | Also known as |
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| English | An analogue of Yi's theorem to holomorphic mappings |
scientific article; zbMATH DE number 1471665 |
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An analogue of Yi's theorem to holomorphic mappings (English)
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24 April 2001
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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.
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holomorphic mappings into complex projective space
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uniqueness theorem
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Fermat hypersurfaces
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counting multiplicities
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