On the reduction theory of binary forms

Cremona, John E and Stoll, Michael (2001) On the reduction theory of binary forms.

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Abstract

Cremona developed a reduction theory for binary forms of degree 3 and 4 with integer coefficients, the motivation in the case of quartics being to improve 2-descent algorithms for elliptic curves over Q. In this paper we extend some of these results to forms of higher degree. One application of this is to the study of hyperelliptic curves.

Item Type: Article
Uncontrolled Keywords: Binary forms, hyperelliptic curves
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Cremona, John E
Date Deposited: 26 Mar 2002
Last Modified: 22 Jun 2011 07:20
URI: http://eprints.nottingham.ac.uk/id/eprint/59

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