Regulators of Elliptic Curves

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Standard

Regulators of Elliptic Curves. / Autissier, Pascal; Hindry, Marc; Pazuki, Fabien.

I: International Mathematics Research Notices, Bind 2021, Nr. 7, 2021, s. 4976–4993.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Autissier, P, Hindry, M & Pazuki, F 2021, 'Regulators of Elliptic Curves', International Mathematics Research Notices, bind 2021, nr. 7, s. 4976–4993. https://doi.org/10.1093/imrn/rny285

APA

Autissier, P., Hindry, M., & Pazuki, F. (2021). Regulators of Elliptic Curves. International Mathematics Research Notices, 2021(7), 4976–4993. https://doi.org/10.1093/imrn/rny285

Vancouver

Autissier P, Hindry M, Pazuki F. Regulators of Elliptic Curves. International Mathematics Research Notices. 2021;2021(7):4976–4993. https://doi.org/10.1093/imrn/rny285

Author

Autissier, Pascal ; Hindry, Marc ; Pazuki, Fabien. / Regulators of Elliptic Curves. I: International Mathematics Research Notices. 2021 ; Bind 2021, Nr. 7. s. 4976–4993.

Bibtex

@article{b7ab2613529a4cdb8ff9d69bb5205c3f,
title = "Regulators of Elliptic Curves",
abstract = "We study the regulator of the Mordell–Weil group of elliptic curves over number fields, functions fields of characteristic 0 or function fields of characteristic p>0⁠. We prove a new Northcott property for the regulator of elliptic curves of rank at least 4 defined over a number field. In the function field case, we obtain that non-trivial families of elliptic curves with bounded regulators and bounded ranks are limited families. We conclude by asking new questions.",
author = "Pascal Autissier and Marc Hindry and Fabien Pazuki",
year = "2021",
doi = "10.1093/imrn/rny285",
language = "English",
volume = "2021",
pages = "4976–4993",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "7",

}

RIS

TY - JOUR

T1 - Regulators of Elliptic Curves

AU - Autissier, Pascal

AU - Hindry, Marc

AU - Pazuki, Fabien

PY - 2021

Y1 - 2021

N2 - We study the regulator of the Mordell–Weil group of elliptic curves over number fields, functions fields of characteristic 0 or function fields of characteristic p>0⁠. We prove a new Northcott property for the regulator of elliptic curves of rank at least 4 defined over a number field. In the function field case, we obtain that non-trivial families of elliptic curves with bounded regulators and bounded ranks are limited families. We conclude by asking new questions.

AB - We study the regulator of the Mordell–Weil group of elliptic curves over number fields, functions fields of characteristic 0 or function fields of characteristic p>0⁠. We prove a new Northcott property for the regulator of elliptic curves of rank at least 4 defined over a number field. In the function field case, we obtain that non-trivial families of elliptic curves with bounded regulators and bounded ranks are limited families. We conclude by asking new questions.

U2 - 10.1093/imrn/rny285

DO - 10.1093/imrn/rny285

M3 - Journal article

VL - 2021

SP - 4976

EP - 4993

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 7

ER -

ID: 215085178