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On holomorphic differentials of some algebraic function field of one variable over C

  • Ja Kyung Koo (a1)
Abstract

We give holomorphic differentials of some algebraic function field K of complex dimension one which is a generalisation of a hyperelliptic field.

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References
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[1]Chevalley C., Introduction to the theory of algebraic functions of one variable, AMS Mathematical Surveys No. 6, 1951.
[2]Farkas H.M. and Kra I., Riemann surfaces (Springer-Verlag, Heidelberg, New York, Berlin, 1980).
[3]Foster O., Lectures on Riemann surfaces (Springer-Verlag, Berlin, Heidelberg, New York, 1981).
[4]Hartshorne R., Algebraic geometry (Springer-Verlag, Berlin, Heidelberg, New York, 1977).
[5]Lang S., Introduction to algebraic and abelian functions (Springer-Verlag, Berlin, Heidelberg, New York, 1982).
[6]Siegel C.L., Topics in complex function theory Vol I, II(Wiley-Interscience, 1970).
[7]Shimura G., Introduction to the arithmetic theory of automorphic functions (Princeton University Press, 1971).
[8]Springer G., Introduction to Riemann surface (Chelsea Publishing Co., New York, 1957).
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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