Skip to main content

Research Repository

See what's under the surface

Advanced Search

On the reduction theory of binary forms

Cremona, John E; Stoll, Michael

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.

Journal Article Type Article
Publication Date Jan 1, 2001
Peer Reviewed Not Peer Reviewed
APA6 Citation Cremona, J. E., & Stoll, M. (2001). On the reduction theory of binary forms
Keywords Binary forms, hyperelliptic curves
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

Files

redp1.pdf (274 Kb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





Downloadable Citations

;