On the reduction theory of binary forms
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 t...
| Main Authors: | , |
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| Format: | Article |
| Published: |
2001
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| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/59/ |
| _version_ | 1848790363412627456 |
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| author | Cremona, John E Stoll, Michael |
| author_facet | Cremona, John E Stoll, Michael |
| author_sort | Cremona, John E |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:11:25Z |
| format | Article |
| id | nottingham-59 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:25Z |
| publishDate | 2001 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-592020-05-04T20:32:42Z https://eprints.nottingham.ac.uk/59/ On the reduction theory of binary forms Cremona, John E Stoll, Michael 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. 2001 Article NonPeerReviewed Cremona, John E and Stoll, Michael (2001) On the reduction theory of binary forms. Binary forms hyperelliptic curves |
| spellingShingle | Binary forms hyperelliptic curves Cremona, John E Stoll, Michael On the reduction theory of binary forms |
| title | On the reduction theory of binary forms |
| title_full | On the reduction theory of binary forms |
| title_fullStr | On the reduction theory of binary forms |
| title_full_unstemmed | On the reduction theory of binary forms |
| title_short | On the reduction theory of binary forms |
| title_sort | on the reduction theory of binary forms |
| topic | Binary forms hyperelliptic curves |
| url | https://eprints.nottingham.ac.uk/59/ |