Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2015; 52(2): 225-237

Printed March 1, 2015

https://doi.org/10.4134/JKMS.2015.52.2.225

Copyright © The Korean Mathematical Society.

On subfields of GK and generalized GK function fields

Yusuf Danisman and Mehmet Ozdemir

Mevlana University, Mevlana University

Abstract

In this article, we show that many of the genera that Giulietti and Fanali obtained from subfields of the GK curve can be obtained by using similar techniques used by Garcia, Stichtenoth and Xing. In the meantime, we obtain some new genera from the subfields of GK and generalized GK function fields.

Keywords: algebraic curves, function field, automorphism group

MSC numbers: 14H05