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arXiv · 1711.06147

Average size of 2-Selmer groups of Jacobians of hyperelliptic curves over function fields

Dao Van Thinh
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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.

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Dao Van Thinh. 2017-11-16. Average size of 2-Selmer groups of Jacobians of hyperelliptic curves over function fields. https://arxiv.org/abs/1711.06147

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