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On parameters of a canonical form of a curve of genus three

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

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

Keywords

  • Riemann Surface
  • Automorphism Group
  • Canonical Form
  • Simultaneous Solution
  • Topological Mapping

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References

  1. J. Igusa, Arithmetic variety of moduli for genus 2, Ann.of Math. 72(1960) pp.612–649.

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  2. A. Kuribayashi and K. Komiya, On Weierstrass points of non-hyperelliptic Riemann surfaces of genus three, Hiroshima Math.J., 7(1977),743–768.

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  3. _____, On Weierstrass points and automorphisms of curves of genus three, Springer Lecture Note 732(1979),253–299.

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  4. A. Kuribayashi, On analytic families of compact Riemann surfaces with non-trivial automorphisms,Nagoya Math.J.,28(1966) 119–165.

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  5. A. Kuribayashi and R. Moriya, On Weierstrass points of Riemann surfaces defined by the equation y3=x(x−1)(x−t1)(x−t2), Bull. Facul.Sci.& Eng.Chuo Univ.22(1979),97–106.

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  6. _____, On automorphisms of Riemann surfaces defined by y3=x(x−1)(x−t1)(x−t2),Bull.Facul.Sci.& Eng.Chuo Univ.21 (1978),12–27.

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  7. I.Kuribayashi, On a classification of automorphism groups of quartic curves, to appear.

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  8. O.Teichmüller, Extremale quasikonforme Abbildungen und quadratische Differentiale,Preuss.Akad.Math.naturw.kl.,22,1940.

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© 1983 Springer-Verlag

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Kuribayashi, I., Kuribayashi, A. (1983). On parameters of a canonical form of a curve of genus three. 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/BFb0066525

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  • DOI: https://doi.org/10.1007/BFb0066525

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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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