Division polynomials and intersection of projective torsion points

Research output: Contribution to journalArticle

Abstract

Given two elliptic curves, each of which is associated with a projection map that identifies opposite elements with respect to the natural group structure, we investigate how their corresponding projective images of torsion points intersect.

Original languageEnglish (US)
Pages (from-to)644-660
Number of pages17
JournalEuropean Journal of Mathematics
Volume2
Issue number3
DOIs
StatePublished - Sep 1 2016

Fingerprint

Torsion Points
Intersect
Elliptic Curves
Division
Intersection
Projection
Polynomial

Keywords

  • Division polynomial
  • Elliptic curve
  • Jordan’s totient function
  • Unlikely intersection

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Division polynomials and intersection of projective torsion points. / Bogomolov, Fedor; Fu, Hang.

In: European Journal of Mathematics, Vol. 2, No. 3, 01.09.2016, p. 644-660.

Research output: Contribution to journalArticle

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