Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction
2012 ◽
Vol 154
(2)
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pp. 303-324
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AbstractThis paper studies the compact p∞-Selmer Iwasawa module X(E/F∞) of an elliptic curve E over a False Tate curve extension F∞, where E is defined over ℚ, having multiplicative reduction at the odd prime p. We investigate the p∞-Selmer rank of E over intermediate fields and give the best lower bound of its growth under certain parity assumption on X(E/F∞), assuming this Iwasawa module satisfies the H(G)-Conjecture proposed by Coates–Fukaya–Kato–Sujatha–Venjakob.
2007 ◽
Vol 142
(2)
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pp. 193-204
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1997 ◽
Vol 49
(4)
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pp. 749-771
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2016 ◽
Vol 164
(1)
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pp. 67-98
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2015 ◽
Vol 160
(1)
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pp. 11-38
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2008 ◽
Vol 144
(3)
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pp. 535-574
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2009 ◽
Vol 05
(05)
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pp. 911-932
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