Uniqueness Results for Holomorphic Mappings on the Disc

Uniqueness Results for Holomorphic Mappings on the Disc

This paper derives several unicity results for a class of holomorphic mappings from the disc into compact Riemann surfaces as well as into the complex projective space ℙ n ( ℂ ). This is done by using the Nevanlinna theory for holomorphic maps where the source is a disc developed by Ru-Sibony ( to a...

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Veröffentlicht in:Acta mathematica vietnamica 2020-03, Vol.45 (1), p.71-81
Hauptverfasser: Ru, Min, Walden, Richard
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
Mathematics
Mathematics and Statistics
Riemann surfaces
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Zusammenfassung:This paper derives several unicity results for a class of holomorphic mappings from the disc into compact Riemann surfaces as well as into the complex projective space ℙ n ( ℂ ). This is done by using the Nevanlinna theory for holomorphic maps where the source is a disc developed by Ru-Sibony ( to appear ).
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-018-00319-w