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arXiv · 2201.02383

The regulator dominates the rank

Fabien Pazuki
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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 $p\geq5$. The lower bound is an increasing function of the rank and of the height.

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Fabien Pazuki. 2022-01-07. The regulator dominates the rank. https://arxiv.org/abs/2201.02383

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