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Cremona, J. E. (2008) Computing in component groups of elliptic curves. In: 8th International Symposium on Algorithmic Number Theory, Banff, Canada, May 17-22, 2008. Published in: Algorithmic number theory : 8th international symposium, ANTS-VIII, Banff, Canada, May 17-22, 2008 : proceedings (Lecture Notes in Computer Science), Vol.5011 pp. 118-124.
Full text not available from this repository.Abstract
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E-0(K), where E-0(K) denotes the subgroup of points of good reduction; this is known to be finite, cyclic if E has multiplicative reduction, and of order at most 4 if E has additive reduction. We show how to compute explicitly an isomorphism E(K)/E-0(K) congruent to Z/NZ or E(K)/E-0(K) congruent to Z/2Z x Z/2Z.
| Item Type: | Conference Item (UNSPECIFIED) |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Curves, Elliptic, Group schemes (Mathematics), Computer science -- Mathematics |
| Journal or Publication Title: | Algorithmic number theory : 8th international symposium, ANTS-VIII, Banff, Canada, May 17-22, 2008 : proceedings (Lecture Notes in Computer Science) |
| Publisher: | Springer |
| ISBN: | 978-3-540-79455-4 |
| ISSN: | 0302-9743 |
| Editor: | VanDerPoorten, AJ and Stein, A |
| Date: | 2008 |
| Volume: | Vol.5011 |
| Number of Pages: | 7 |
| Page Range: | pp. 118-124 |
| Identification Number: | 10.1007/978-3-540-79456-1_7 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Title of Event: | 8th International Symposium on Algorithmic Number Theory |
| Type of Event: | Conference |
| Location of Event: | Banff, Canada |
| Date(s) of Event: | May 17-22, 2008 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/30088 |
Data sourced from Thomson Reuters' Web of Knowledge
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