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Functional Equation of Characteristic Elements of Abelian Varieties over Function Fields

Pal, Aprameyo

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In this thesis we apply methods from the Number field case of Perrin-Riou and Zabradi in the Function field set up. In $\zl$- and $GL_2$-case ($l \neq p$), 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 consequence, we also get results on the growth behaviour of Selmer groups in commutative and non-commutative extension of Function fields.

Document type: Dissertation
Supervisor: Venjakob, Prof. Dr. Otmar
Date of thesis defense: 26 March 2013
Date Deposited: 16 May 2013 05:29
Date: 2013
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Mathematics
DDC-classification: 510 Mathematics

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