On the reduction theory of binary forms

Cremona, John E; Stoll, Michael

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.

Citation

Cremona, J. E., & Stoll, M. (2001). On the reduction theory of binary forms

• Journal Article Type: Article
• Publication Date: Jan 1, 2001
• Deposit Date: Mar 26, 2002
• Publicly Available Date: Oct 9, 2007
• Peer Reviewed: Not Peer Reviewed
• Keywords: Binary forms, hyperelliptic curves
• Public URL: https://nottingham-repository.worktribe.com/output/1023277