Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-22T21:47:21.034Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  17 April 2009

Ja Kyung Koo
Affiliation:
Korea Advanced Institute of Science and Technology, Department of Mathematics Taejon 305–701, Korea
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Chevalley, C., Introduction to the theory of algebraic functions of one variable, AMS Mathematical Surveys No. 6, 1951.CrossRefGoogle Scholar
[2]Farkas, H.M. and Kra, I., Riemann surfaces (Springer-Verlag, Heidelberg, New York, Berlin, 1980).CrossRefGoogle Scholar
[3]Foster, O., Lectures on Riemann surfaces (Springer-Verlag, Berlin, Heidelberg, New York, 1981).CrossRefGoogle Scholar
[4]Hartshorne, R., Algebraic geometry (Springer-Verlag, Berlin, Heidelberg, New York, 1977).CrossRefGoogle Scholar
[5]Lang, S., Introduction to algebraic and abelian functions (Springer-Verlag, Berlin, Heidelberg, New York, 1982).CrossRefGoogle Scholar
[6]Siegel, C.L., Topics in complex function theory Vol I, II(Wiley-Interscience, 1970).Google Scholar
[7]Shimura, G., Introduction to the arithmetic theory of automorphic functions (Princeton University Press, 1971).Google Scholar
[8]Springer, G., Introduction to Riemann surface (Chelsea Publishing Co., New York, 1957).Google Scholar