arXiv Open Access 2017

Fine Selmer Groups and Isogeny Invariance

R. Sujatha M. Witte

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Abstrak

We investigate fine Selmer groups for elliptic curves and for Galois representations over a number field. More specifically, we discuss Conjecture A, which states that the fine Selmer group of an elliptic curve over the cyclotomic extension is a finitely generated $\mathbb{Z}_p$-module. The relationship between this conjecture and Iwasawa's classical $μ=0$ conjecture is clarified. We also present some partial results towards the question whether Conjecture A is invariant under isogenies.

Topik & Kata Kunci

math.NT

Penulis (2)

R. Sujatha

M. Witte

Format Sitasi

APA MLA BibTeX

Sujatha, R., Witte, M. (2017). Fine Selmer Groups and Isogeny Invariance. https://arxiv.org/abs/1704.04893

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓