Holomorphic mappings between compact Riemann surfaces

DOI10.1017/S0013091507000223zbMath1163.32006MaRDI QIDQ3612052

Manabu Ito, Hiroshi Yamamoto

Publication date: 3 March 2009

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

compact Riemann surfaceholomorphic mappingcollar theoremrigidity theorems for holomorphic mappings

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (4)

The equivalence classes of holomorphic mappings of genus 3 Riemann surfaces onto genus 2 Riemann surfaces ⋮ 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 ⋮ On the number of holomorphic mappings between Riemann surfaces of finite analytic type

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