Generalizations of de Franchis theorem

DOI10.1215/S0012-7094-83-05017-2zbMath0517.32010MaRDI QIDQ1053161

Yoichi Imayoshi

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

closed Riemann surfacede Franchis theoremfiniteness of number of holomorphic mappings

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Special algebraic curves and curves of low genus (14H45) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (7)

Moduli spaces of holomorphic mappings into hyperbolically imbedding complex spaces and locally symmetric spaces ⋮ Families of univalent functions and Kleinian groups ⋮ Proper holomorphic mappings between hyperbolic product manifolds ⋮ On the sharp upper bound for the number of holomorphic mappings of Riemann surfaces of low genus ⋮ Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus ⋮ Finiteness theorems for holomorphic mapping from products of hyperbolic Riemann surfaces ⋮ Holomorphic maps of compact Riemann surfaces into 2-dimensional compact C-hyperbolic manifolds

Cites Work

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• Uniqueness conditions for certain holomorphic mappings
• Lectures on old and new results on algebraic curves
• On discontinuous groups operating on the product of the upper half planes
• Complex-analytic properties of certain Zariski open sets on algebraic varieties
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Prolongements analytiques au sens de Riemann
• Finiteness of the Family of Rational and Meromorphic Mappings Into Algebraic Varieties
• Holomorphic mappings into a compact quotient of symmetric bounded domain
• On Deformations of a Certain Type of Irregular Algebraic Surface

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