$\Lambda$-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves

22 Oct 2020 Hatley Jeffrey Lei Antonio Vigni Stefano

Let $p$ be an odd prime and $K$ an imaginary quadratic field where $p$ splits. Under appropriate hypotheses, Bertolini showed that the Selmer group of a $p$-ordinary elliptic curve over the anticyclotomic $\mathbb Z_p$-extension of $K$ does not admit any proper $\Lambda$-submodule of finite index, where $\Lambda$ is a suitable Iwasawa algebra... (read more)

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  • NUMBER THEORY
  • ALGEBRAIC GEOMETRY