Isogenies of Elliptic Curves Over Function Fields

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Standard

Isogenies of Elliptic Curves Over Function Fields. / Griffon, Richard; Pazuki, Fabien.

I: International Mathematics Research Notices, Bind 2022, Nr. 19, 2022, s. 14697–14740.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Griffon, R & Pazuki, F 2022, 'Isogenies of Elliptic Curves Over Function Fields', International Mathematics Research Notices, bind 2022, nr. 19, s. 14697–14740. https://doi.org/10.1093/imrn/rnab033

APA

Griffon, R., & Pazuki, F. (2022). Isogenies of Elliptic Curves Over Function Fields. International Mathematics Research Notices, 2022(19), 14697–14740. https://doi.org/10.1093/imrn/rnab033

Vancouver

Griffon R, Pazuki F. Isogenies of Elliptic Curves Over Function Fields. International Mathematics Research Notices. 2022;2022(19):14697–14740. https://doi.org/10.1093/imrn/rnab033

Author

Griffon, Richard ; Pazuki, Fabien. / Isogenies of Elliptic Curves Over Function Fields. I: International Mathematics Research Notices. 2022 ; Bind 2022, Nr. 19. s. 14697–14740.

Bibtex

@article{16cd63270efc461892496105510c5f6c,
title = "Isogenies of Elliptic Curves Over Function Fields",
abstract = "We prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation of the height of the j-invariant in an isogeny class. The second one is an “isogeny estimate,” providing an explicit bound on the degree of a minimal isogeny between two isogenous elliptic curves. We also give several corollaries of these two results.",
author = "Richard Griffon and Fabien Pazuki",
year = "2022",
doi = "10.1093/imrn/rnab033",
language = "English",
volume = "2022",
pages = "14697–14740",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "19",

}

RIS

TY - JOUR

T1 - Isogenies of Elliptic Curves Over Function Fields

AU - Griffon, Richard

AU - Pazuki, Fabien

PY - 2022

Y1 - 2022

N2 - We prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation of the height of the j-invariant in an isogeny class. The second one is an “isogeny estimate,” providing an explicit bound on the degree of a minimal isogeny between two isogenous elliptic curves. We also give several corollaries of these two results.

AB - We prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation of the height of the j-invariant in an isogeny class. The second one is an “isogeny estimate,” providing an explicit bound on the degree of a minimal isogeny between two isogenous elliptic curves. We also give several corollaries of these two results.

U2 - 10.1093/imrn/rnab033

DO - 10.1093/imrn/rnab033

M3 - Journal article

VL - 2022

SP - 14697

EP - 14740

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 19

ER -

ID: 305702043