English

Average size of 2-Selmer groups of elliptic curves over function fields

Number Theory 2021-09-15 v3 Algebraic Geometry

Abstract

Employing a geometric setting inspired by the proof of the Fundamental Lemma, we study some counting problems related to the average size of 2-Selmer groups and hence obtain an estimate for it.

Keywords

Cite

@article{arxiv.1310.7963,
  title  = {Average size of 2-Selmer groups of elliptic curves over function fields},
  author = {Q. P. Ho and B. V. Le Hung and B. C. Ngo},
  journal= {arXiv preprint arXiv:1310.7963},
  year   = {2021}
}

Comments

Thoroughly revised to improve the exposition