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- W4313854815 abstract "We consider elliptic curves over global fields of positive characteristic with two distinct marked non-trivial rational points. Restricting to a certain subfamily of the universal one, we show that the average size of the 2-Selmer groups of these curves exists, in a natural sense, and equals 12. Along the way, we consider a map from these 2-Selmer groups to the moduli space of $G$-torsors over an algebraic curve, where $G$ is isogenous to $mathrm{SL}_2^4$, and show that the images of 2-Selmer elements under this map become equidistributed in the limit." @default.
- W4313854815 created "2023-01-10" @default.
- W4313854815 creator A5050562069 @default.
- W4313854815 date "2016-07-04" @default.
- W4313854815 modified "2023-09-30" @default.
- W4313854815 title "On the average number of 2-Selmer elements of elliptic curves over $mathbb{F}_q(X)$ with two marked points" @default.
- W4313854815 doi "https://doi.org/10.48550/arxiv.1607.00997" @default.
- W4313854815 hasPublicationYear "2016" @default.
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