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On the reduction theory of binary forms

Cremona, John E; Stoll, Michael

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Authors

John E Cremona

Michael Stoll



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 Mar 29, 2024
Peer Reviewed Not Peer Reviewed
Keywords Binary forms, hyperelliptic curves
Public URL https://nottingham-repository.worktribe.com/output/1023277

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