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- W2556554083 abstract "We prove analogues of the major algebraic results of [GV00] for Selmer groups of p-ordinary newforms over Zp-extensions which may be neither cyclotomic nor anticyclotomic, under a number of technical hypotheses, including a cotorsion assumption on the Selmer groups. The main complication which arises in our work is the possible presence of finite primes which can split completely in the Zp-extension being considered, resulting in the local cohomology groups that appear in the definition of the Selmer groups being significantly larger than they are in the case of a finitely decomposed prime. We give a careful analysis of the Λ-module structure of these local cohomology groups and identify the relevant finiteness condition one must impose to make the proof of the key cohomological surjectivity result [GV00, Proposition 2.1] work in our more general setting." @default.
- W2556554083 created "2016-11-30" @default.
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- W2556554083 date "2018-06-01" @default.
- W2556554083 modified "2023-10-11" @default.
- W2556554083 title "On the structure of Selmer groups of p-ordinary modular forms over Z-extensions" @default.
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- W2556554083 doi "https://doi.org/10.1016/j.jnt.2017.11.002" @default.
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