Average size of 2-Selmer groups of Jacobians of hyperelliptic curves over function fields
Algebraic Geometry
2018-11-27 v1
Abstract
In this paper, we are going to compute the average size of 2-Selmer groups of two families of hyperelliptic curves with marked points over function fields. The result will be obtained by a geometric method which could be considered as a generalization of the one that was used previously by Q.P. Ho, V.B. Le Hung, and B.C. Ngo to obtain the average size of 2-Selmer groups of elliptic curves.
Keywords
Cite
@article{arxiv.1711.06147,
title = {Average size of 2-Selmer groups of Jacobians of hyperelliptic curves over function fields},
author = {Dao Van Thinh},
journal= {arXiv preprint arXiv:1711.06147},
year = {2018}
}