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• W2772066681 abstract "Let E be an elliptic curve over an abelian extension F of an imaginary quadratic field K with complex multiplication by K. Let p be a prime number inert over K/Q (i.e. supersingular for E). We prove the main conjecture of Iwasawa theory for p under certain conditions on p. In other words, we prove that the characteristic ideal of the Pontryagin dual of the plus/minus Selmer group of E over the cyclotomic Zp-extension of F is generated by the plus/minus p-adic L-function of E. 2000 Mathematics Subject Classification Primary 11G05, 11R23; Secondary 11G40." @default.
• W2772066681 created "2017-12-22" @default.
• W2772066681 creator A5022831383 @default.
• W2772066681 creator A5036289999 @default.
• W2772066681 date "2017-01-01" @default.
• W2772066681 modified "2023-09-23" @default.
• W2772066681 title "The main conjecture of Iwasawa theory for elliptic curves with complex multiplication over abelian extensions at supersingular primes" @default.
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• W2772066681 doi "https://doi.org/10.4064/aa8606-8-2017" @default.
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