Division polynomials and intersection of projective torsion points

Fedor A. Bogomolov; Hang Fu

doi:10.1007/s40879-016-0111-7

Division polynomials and intersection of projective torsion points

Fedor A. Bogomolov, Hang Fu

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	644-660
Number of pages	17
Journal	European Journal of Mathematics
Volume	2
Issue number	3
DOIs	https://doi.org/10.1007/s40879-016-0111-7
State	Published - Sep 1 2016

Keywords

Division polynomial
Elliptic curve
Jordan’s totient function
Unlikely intersection

ASJC Scopus subject areas

General Mathematics

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10.1007/s40879-016-0111-7

Cite this

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title = "Division polynomials and intersection of projective torsion points",

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.",

keywords = "Division polynomial, Elliptic curve, Jordan{\textquoteright}s totient function, Unlikely intersection",

author = "Bogomolov, {Fedor A.} and Hang Fu",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing AG.",

year = "2016",

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doi = "10.1007/s40879-016-0111-7",

language = "English (US)",

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AU - Bogomolov, Fedor A.

AU - Fu, Hang

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AB - 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.

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KW - Elliptic curve

KW - Jordan’s totient function

KW - Unlikely intersection

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JF - European Journal of Mathematics

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Division polynomials and intersection of projective torsion points

Abstract

Keywords

ASJC Scopus subject areas

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