The regulator dominates the rank
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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.
Original language | English |
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Publisher | arXiv preprint |
Number of pages | 8 |
Publication status | Published - 2022 |
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ID: 307097218