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On the equivalence of binary quartics
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Cremona, J. E. and Fisher, T. A. (2009) On the equivalence of binary quartics. Journal of Symbolic Computation, Vol.44 (No.6). pp. 673-682. doi:10.1016/j.jsc.2008.09.004 ISSN 0747-7171.
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Official URL: http://dx.doi.org/10.1016/j.jsc.2008.09.004
Abstract
We give an extension and correction to a result stated in the first author's paper [Cremona, J.E., 2001. Classical invariants and 2-descent on elliptic curves. J. Symbolic Comput. 31 (1-2), 71-87; Computational algebra and number theory. Milwaukee, WI, 1996], concerning the equivalence of binary quartics. In the earlier version the cases where I = 0 or J = 0 were not fully treated, and neither were the cases of reducible quartics or those whose resolvent cubic is reducible: these are dealt with here. We also give an alternative criterion for equivalence. (C) 2008 Elsevier Ltd. All rights reserved.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Symbolic Computation | ||||
| Publisher: | Elsevier Science Ltd. / Academic Press Ltd. | ||||
| ISSN: | 0747-7171 | ||||
| Official Date: | June 2009 | ||||
| Dates: |
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| Volume: | Vol.44 | ||||
| Number: | No.6 | ||||
| Number of Pages: | 10 | ||||
| Page Range: | pp. 673-682 | ||||
| DOI: | 10.1016/j.jsc.2008.09.004 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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