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Remarks on de Franchis' theorem

I Section — Quasiconformal And Quasiregular Mappings, Teichmüller Spaces And Kleinian Groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 1013)

Keywords

  • Riemann Surface
  • Target Surface
  • Abelian Variety
  • Fuchsian Group
  • Integral Matrix

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References

  1. M.d. Franchis, "Un teorema sulle involuzioni irrazionali", Rend.Circ.Mat.Palermo, 36 (1913), 368.

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  2. A. Hurwitz, "Über algebraischen Gebilde mit eindeutigen Transformationen in sich", Math. Ann., 41(1893), 403–442.

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  3. H.H. Martens, "Observations on Morphisms of closed Riemann Surfaces", Bull. London Math. Soc., 10(1978), 209–212.

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  4. H.H. Martens, "Homomorphisms associated with multiplicative functions", in Contributions to Analysis (Academic Press, New York, 1974), 279–291.

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  5. H.P.F. Swinnerton-Dyer, Analytic Theory of Abelian varieties, London Mathematical Society Lecture Note Series, No. 14, (Cambridge University Press, London 1974.)

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  6. A.Weil, "On the theory of complex multiplication", Proc. Int. Symp. Algebraic Number Theory, Tokyo-Nikko, (1955), 9–22.

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© 1983 Springer-Verlag

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Martens, H.H. (1983). Remarks on de Franchis' theorem. In: Cazacu, C.A., Boboc, N., Jurchescu, M., Suciu, I. (eds) Complex Analysis — Fifth Romanian-Finnish Seminar. Lecture Notes in Mathematics, vol 1013. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066526

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  • DOI: https://doi.org/10.1007/BFb0066526

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12682-9

  • Online ISBN: 978-3-540-38671-1

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