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Topics in anticyclotomic Iwasawa theory

Let p ≥ 5 be a prime and E/ℚ be an elliptic curve of conductor N that is ordinary at p. Let K/ℚ be an imaginary quadratic field. This thesis is concerned with the dual Selmer group of E over the anticyclotomic extension of K, especially when p is split in K and K satisfies the Heegner hypothesis for E: every prime ℓ dividing N is split in K/ℚ.
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Iwasawa Theory of Local Units

1978
Iwasawa [Iw 8], [Iw 10] developed a theory of local units analogous to the global theory, taking projective limits, especially in the cyclotomic tower, and getting the structure of this projective limit modulo the closure of the cyclotomic units. He considers eigenspaces for the characters of Gal(K0/Q p ) where K0 = Q p (ζ) with a primitive pth root of
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Arithmetic statistics for the fine Selmer group in Iwasawa theory

Research in Number Theory, 2023
Anwesh Ray, R Sujatha, Ray Anwesh
exaly  

Iwasawa Theory and Modular

Pure and Applied Mathematics Quarterly, 2006
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The ?main conjectures? of iwasawa theory for imaginary quadratic fields

Inventiones Mathematicae, 1991
Karl Rubin, Rubin Karl
exaly  

Erratum to: Modular Symbols in Iwasawa Theory

Contributions in Mathematical and Computational Sciences, 2014
Romyar Sharifi
exaly  

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