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

B.C. Ngo; B.V. Le Hung; Q.P. Ho

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

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arxiv 1310.7963 v3 pith:CRADCXBK submitted 2013-10-29 math.NT math.AG

Q.P. Ho , B.V. Le Hung , B.C. Ngo This is my paper

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keywords averagegroupsselmersizecountingcurvesellipticemploying

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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.

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Geometry-of-numbers methods over global fields II: Coregular representations
math.NT 2026-04 unverdicted novelty 7.0 of 10

Geometry-of-numbers methods are extended to count orbits in coregular spaces over arbitrary global fields, yielding bounds on average ranks and Selmer sizes for elliptic curves and hyperelliptic Jacobians.

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