English

The Frobenius twists of elliptic curves over global function fields

Number Theory 2023-01-03 v1

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.

Keywords

Cite

@article{arxiv.2301.00518,
  title  = {The Frobenius twists of elliptic curves over global function fields},
  author = {Ki-Seng Tan},
  journal= {arXiv preprint arXiv:2301.00518},
  year   = {2023}
}

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25 pages, 0 figures