Regulators of Elliptic Curves
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- REGULATORS OF ELLIPTIC CURVES
Accepted author manuscript, 235 KB, PDF document
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.
Original language | English |
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Journal | International Mathematics Research Notices |
Volume | 2021 |
Issue number | 7 |
Pages (from-to) | 4976–4993 |
ISSN | 1073-7928 |
DOIs | |
Publication status | Published - 2021 |
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