Elliptic curves with large intersection of projective torsion points

Fedor A. Bogomolov; Hang Fu

doi:10.1007/s40879-017-0207-8

Elliptic curves with large intersection of projective torsion points

Fedor A. Bogomolov, Hang Fu

Mathematics

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

Abstract

We construct pairs of elliptic curves over number fields with large intersection of projective torsion points.

Original language	English (US)
Pages (from-to)	555-560
Number of pages	6
Journal	European Journal of Mathematics
Volume	4
Issue number	2
DOIs	https://doi.org/10.1007/s40879-017-0207-8
State	Published - Jun 1 2018

Keywords

Division polynomials
Elliptic curves
Torsion points
Unlikely intersections

ASJC Scopus subject areas

General Mathematics

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10.1007/s40879-017-0207-8

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title = "Elliptic curves with large intersection of projective torsion points",

abstract = "We construct pairs of elliptic curves over number fields with large intersection of projective torsion points.",

keywords = "Division polynomials, Elliptic curves, Torsion points, Unlikely intersections",

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

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

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doi = "10.1007/s40879-017-0207-8",

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T1 - Elliptic curves with large intersection of projective torsion points

AU - Bogomolov, Fedor A.

AU - Fu, Hang

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N2 - We construct pairs of elliptic curves over number fields with large intersection of projective torsion points.

AB - We construct pairs of elliptic curves over number fields with large intersection of projective torsion points.

KW - Division polynomials

KW - Elliptic curves

KW - Torsion points

KW - Unlikely intersections

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Elliptic curves with large intersection of projective torsion points

Abstract

Keywords

ASJC Scopus subject areas

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