The regulator dominates the rank

Fabien Pazuki

The regulator dominates the rank

Fabien Pazuki

Institut for Matematiske Fag

Publikation: Working paper › Preprint

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Abstract

After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over global function fields of characteristic p≥5. The lower bound is an increasing function of the rank and of the height.

Originalsprog	Engelsk
Udgiver	arXiv preprint
Antal sider	8
Status	Udgivet - 2022

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FulltextForlagets udgivne version, 159 KBLicens: CC BY

Citationsformater

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abstract = "After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over global function fields of characteristic p≥5. The lower bound is an increasing function of the rank and of the height.",

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AB - After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over global function fields of characteristic p≥5. The lower bound is an increasing function of the rank and of the height.

M3 - Preprint

BT - The regulator dominates the rank

PB - arXiv preprint

ER -