eprintid: 14958
rev_number: 11
eprint_status: archive
userid: 571
dir: disk0/00/01/49/58
datestamp: 2013-05-16 05:29:17
lastmod: 2013-05-16 10:02:43
status_changed: 2013-05-16 05:29:17
type: doctoralThesis
metadata_visibility: no_search
creators_name: Pal, Aprameyo
title: Functional Equation of Characteristic Elements of Abelian Varieties over Function Fields
subjects: 510
divisions: 110400
adv_faculty: af-11
abstract: 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
id_scheme: DOI
id_number: 10.11588/heidok.00014958
ppn_swb: 1652370412
own_urn: urn:nbn:de:bsz:16-heidok-149586
date_accepted: 2013-03-26
advisor: HASH(0x564e1c40c858)
language: eng
bibsort: PALAPRAMEYFUNCTIONAL2013
full_text_status: public
citation:   Pal, Aprameyo  (2013) Functional Equation of Characteristic Elements of Abelian Varieties over Function Fields.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/14958/1/Functional%20equation%20in%20unequal%20characteristic.pdf