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• W2155243923 abstract "In this paper we apply methods from the number field case of Perrin-Riou [20] and Zábrádi [32] in the function field setup. In ℤ ℓ - and GL 2 -cases (ℓ ≠ p), we prove algebraic functional equations of the Pontryagin dual of Selmer group which give further evidence of the main conjectures of Iwasawa theory. We also prove some parity conjectures in commutative and non-commutative cases. As a consequence, we also get results on the growth behavior of Selmer groups in commutative and non-commutative extension of function fields." @default.
• W2155243923 created "2016-06-24" @default.
• W2155243923 creator A5001902692 @default.
• W2155243923 date "2014-03-18" @default.
• W2155243923 modified "2023-09-26" @default.
• W2155243923 title "FUNCTIONAL EQUATION OF CHARACTERISTIC ELEMENTS OF ABELIAN VARIETIES OVER FUNCTION FIELDS (ℓ ≠ p)" @default.
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• W2155243923 doi "https://doi.org/10.1142/s1793042113501194" @default.
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