Abstract
We show, in the large limit, that the average size of -Selmer groups of elliptic curves of bounded height over is the sum of the divisors of . As a corollary, again in the large limit, we deduce that of elliptic curves of bounded height over have rank or .
Citation
Aaron Landesman. "The geometric average size of Selmer groups over function fields." Algebra Number Theory 15 (3) 673 - 709, 2021. https://doi.org/10.2140/ant.2021.15.673
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