Gunning-Narasimhan's theorem with a growth condition

DOI10.1007/s12220-011-9274-0zbMath1272.30065arXiv1106.0936OpenAlexW3098180982MaRDI QIDQ363198

Takeo Ohsawa, Franc Forstnerič

Publication date: 2 September 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0936

zbMATH Keywords

divisorRiemann surfacefunction of finite order

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Stein spaces (32E10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebraic functions and function fields in algebraic geometry (14H05) Riemann surfaces (30F99)

Related Items (2)

Noncritical holomorphic functions on Stein spaces ⋮ Divisors defined by noncritical functions

Cites Work

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• Faisceaux algébriques cohérents
• Noncritical holomorphic functions on Stein manifolds.
• Closed holomorphic 1-forms without zeros on Stein manifolds
• Immersion of open Riemann surfaces
• Holomorphic differentials on open Riemann surfaces

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