The Library
Computing Néron–Tate heights of points on hyperelliptic Jacobians
Tools
Holmes, David (2012) Computing Néron–Tate heights of points on hyperelliptic Jacobians. Journal of Number Theory, Vol.132 (No.6). pp. 1295-1305. doi:10.1016/j.jnt.2012.01.002 ISSN 0022-314X.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1016/j.jnt.2012.01.002
Abstract
t was shown by Faltings (1984) [Fal84] and Hriljac (1985) [Hri85] that the Néron-Tate height of a point on the Jacobian of a curve can be expressed as the self-intersection of a corresponding divisor on a regular model of the curve. We make this explicit and use it to give an algorithm for computing Néron-Tate heights on Jacobians of (hyper)elliptic curves. To demonstrate the practicality of our algorithm, we illustrate it by computing Néron-Tate heights on Jacobians of (hyper)elliptic curves of genus 1 ≤ g≤ 9. © 2012 Elsevier Inc..
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Number Theory | ||||
Publisher: | Academic Press | ||||
ISSN: | 0022-314X | ||||
Official Date: | June 2012 | ||||
Dates: |
|
||||
Volume: | Vol.132 | ||||
Number: | No.6 | ||||
Page Range: | pp. 1295-1305 | ||||
DOI: | 10.1016/j.jnt.2012.01.002 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |