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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

classification math.NTmath.AG
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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