The Frobenius twists of elliptic curves over global function fields
Abstract
For an elliptic curve A defined over a global function field K of characteristic p>0, the p-Selmer group of the Frobenius twist of A tends to have larger order than that of A. The aim of this note is to discuss this phenomenon.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2023
- DOI:
- arXiv:
- arXiv:2301.00518
- Bibcode:
- 2023arXiv230100518T
- Keywords:
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- Mathematics - Number Theory;
- 11R23 (primary);
- 11G05;
- 11G07;
- 11R23;
- 14B15;
- 14H52;
- 14K02 (secondary)
- E-Print:
- 25 pages, 0 figures