Meromorphic maps on Riemann surfaces and transcendence

DOI10.1134/S0081543813070067zbMath1303.30040OpenAlexW2139348473MaRDI QIDQ483184

Yong-Cai Geng, Sumit K. Garg

Publication date: 16 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543813070067

zbMATH Keywords

value distribution theoryaffine algebraic curvestranscendence theory

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Transcendence (general theory) (11J81) Value distribution theory in higher dimensions (32H30) Riemann surfaces (30F99) Curves in algebraic geometry (14H99)

Cites Work

• On Siegel's lemma
• Algebraic values of meromorphic functions on Riemann surfaces
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• The integrated form of the first main theorem for complex analytic mappings in several complex variables
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Algebraic values of meromorphic maps
• A defect relation for equidimensional holomorphic mappings between algebraic varieties
• Nevanlinna theory and holomorphic mappings between algebraic varieties
• Function theory of finite order on algebraic varieties. I(A)
• Ein Satz über ganzwertige Funktionen als Prinzip für Transzendenzbeweise
• Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Veränderlicher. I. II
• Complex Analytic Mappings of Riemann Surfaces I
• Algebraische Unabhängigkeit von Werten von Funktionen, die gewissen Differentialgleichungen genügen.
• Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85)
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