Functional equation of characteristic elements of abelian varieties over function fields (ℓ ≠ p)
In this paper we apply methods from the number field case of Perrin-Riou [20] and Zábrádi [32] in the function field setup. In ℤℓ- and GL2-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 t...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2014
|
| In: |
International journal of number theory
Year: 2013, Volume: 10, Issue: 03, Pages: 705-735 |
| ISSN: | 1793-0421 |
| DOI: | 10.1142/S1793042113501194 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1142/S1793042113501194 Verlag, lizenzpflichtig, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S1793042113501194 
|
| Author Notes: | Aprameyo Pal |
| Summary: | In this paper we apply methods from the number field case of Perrin-Riou [20] and Zábrádi [32] in the function field setup. In ℤℓ- and GL2-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. |
|---|---|
| Item Description: | Gesehen am 07.09.2020 First published: 2 December 2013 |
| Physical Description: | Online Resource |
| ISSN: | 1793-0421 |
| DOI: | 10.1142/S1793042113501194 |