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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 75, Pages 16–21
(Mi znsl3781)
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Selmer groups of supersingular elliptic curves
M. I. Bashmakov, A. S. Kurochkin
Abstract:
The orders of growth of the Selmer groups of supersingular elliptic curves in cyclotomic 2-extensions are established. These orders have the form $2^n/3$ or $2^{n+1}/3$ which alternate depending on the parity of $n$ – the number of the level of the cyclotomic extension. This agrees with the hypothetical formulas indicated earlier by A. G. Nasybullin. Bibl. 3 titles.
Citation:
M. I. Bashmakov, A. S. Kurochkin, “Selmer groups of supersingular elliptic curves”, Rings and linear groups, Zap. Nauchn. Sem. LOMI, 75, "Nauka", Leningrad. Otdel., Leningrad, 1978, 16–21; J. Soviet Math., 37:2 (1987), 924–928
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https://www.mathnet.ru/eng/znsl3781 https://www.mathnet.ru/eng/znsl/v75/p16
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Statistics & downloads: |
Abstract page: | 141 | Full-text PDF : | 42 |
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