On the sharp upper bound for the number of holomorphic mappings of Riemann surfaces of low genus

DOI10.1134/S0037446612020097zbMath1257.30043MaRDI QIDQ1760501

Ilya A. Mednykh

Publication date: 14 November 2012

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

zbMATH Keywords

automorphismorbifoldRiemann surfaceholomorphic mappingde Franchis theorem

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10)

Related Items (1)

The equivalence classes of holomorphic mappings of genus 3 Riemann surfaces onto genus 2 Riemann surfaces

Cites Work

• Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus
• Generalizations of de Franchis theorem
• Surjective holomorphic mappings of projective manifolds
• Unramified double coverings of hyperelliptic surfaces
• A remark on Abel's theorem and the mapping of linear series
• Some bounds for the number of coincidences of morphisms between closed Riemann surfaces
• On the number of coincidences of morphisms between closed Riemann surfaces
• On holomorphic maps between Riemann surfaces of genera three and two
• On rigidity of holomorphic maps of Riemann surfaces.
• Holomorphic maps of Riemann surfaces and Weierstrass points
• Arithmetic variety of moduli for genus two
• Curves of genus 2 with group of automorphisms isomorphic to 𝐷₈ or 𝐷₁₂
• Holomorphic mappings between compact Riemann surfaces
• A bound for the theorem of de Franchis
• On Lifting the Hyperelliptic Involution
• The Geometries of 3-Manifolds
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