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On normal closures related to elliptic curves

Published online by Cambridge University Press:  09 April 2009

D. J. Lewis  and
Patrick Morton
Patrick Morton
Affiliation:
University of Michigan Ann Arbor, Michigan 48109
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Abstract

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Let F(z) be a polynomial with coefficients in a perfect field k and let K be the normal closure of k(z) over k(F). All polynomials for which the genus of K over k is one are determined; they depend in part on the characteristic of k. Some results for higher genus are given.

Subject classification (Amer. Math. Soc. (MOS) 1970): 12 F 10.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 4 , December 1978 , pp. 385 - 409
Copyright
Copyright © Australian Mathematical Society 1978

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