Extremal holomorphic curves for defect relations
Author(s) -
Alexandre Erëmenko
Publication year - 1998
Publication title -
journal d analyse mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.189
H-Index - 53
eISSN - 1565-8538
pISSN - 0021-7670
DOI - 10.1007/bf02819454
Subject(s) - holomorphic function , meromorphic function , conjecture , mathematics , identity theorem , pure mathematics , open mapping theorem (functional analysis) , order (exchange) , analyticity of holomorphic functions , relation (database) , nevanlinna theory , projective test , mathematical analysis , banach space , computer science , economics , finance , eberlein–šmulian theorem , lp space , database
Drasin’s theorem describing meromorphic functions of finite order with maximal sum of deficiencies is extended to holomorphic curves in projective space. A conjecture about holomorphic curves extremal for Cartan’s defect relation is discussed.
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