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arXiv · 1504.02522

The growth of fine Selmer groups

Meng Fai Lim·V. Kumar Murty
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Abstract

Let A be an abelian variety defined over anumber field F. In this paper, we will investigate the growth of p-rank of the fine Selmer group in three situations. In particular, in each of these situations, we show that there is a strong analogy between the growth of the p-rank of the fine Selmer group and the growth of the p-rank of the class groups.

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Meng Fai Lim, V. Kumar Murty. 2015-04-10. The growth of fine Selmer groups. https://arxiv.org/abs/1504.02522

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