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On holomorphic maps between Riemann surfaces of genera three and two

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Publication:1760928
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DOI10.1134/S1064562409010098zbMath1251.30043MaRDI QIDQ1760928

Ilya A. Mednykh

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

compact Riemann surfacesholomorphic mappings between compact Riemann surfaces


Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10)


Related Items (2)

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



Cites Work

  • A remark on Abel's theorem and the mapping of linear series
  • On the number of coincidences of morphisms between closed Riemann surfaces
  • Bounds on the number of non-rational subfields of a function field
  • Holomorphic maps of Riemann surfaces and Weierstrass points
  • A bound for the theorem of de Franchis
  • On a Theorem of Hurwitz
  • Automorphisms of compact Riemann surfaces and the vanishing of theta constants


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