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- W2105290889 abstract "We study the growth of $unicode[STIX]{x0428}$ and $p^{infty }$ -Selmer groups for isogenous abelian varieties in towers of number fields, with an emphasis on elliptic curves. The growth types are usually exponential, as in the ‘positive ${itmu}$ -invariant’ setting in the Iwasawa theory of elliptic curves. The towers we consider are $p$ -adic and $l$ -adic Lie extensions for $lneq p$ , in particular cyclotomic and other $mathbb{Z}_{l}$ -extensions." @default.
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- W2105290889 date "2015-06-30" @default.
- W2105290889 modified "2023-09-25" @default.
- W2105290889 title "Growth of in towers for isogenous curves" @default.
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- W2105290889 doi "https://doi.org/10.1112/s0010437x15007423" @default.
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