title: Functional Equation of Characteristic Elements of Abelian Varieties over Function Fields
creator: Pal, Aprameyo
subject: 510
subject: 510 Mathematics
description: 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.
date: 2013
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/14958/1/Functional%20equation%20in%20unequal%20characteristic.pdf
identifier: DOI:10.11588/heidok.00014958
identifier: urn:nbn:de:bsz:16-heidok-149586
identifier:   Pal, Aprameyo  (2013) Functional Equation of Characteristic Elements of Abelian Varieties over Function Fields.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/14958/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng