Cover Image

Iwasawa theory of fine Selmer groups over global fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ghosh, Sohan, Jha, Somnath, Shekhar, Sudhanshu
Format:	Preprint
Published:	2022
Subjects:	Number Theory 11R23, 11G05, 11S25, 11R60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

$3$-Selmer group, ideal class groups and cube sum problem
by: Jha, Somnath, et al.
Published: (2022)

2-Selmer companion modular forms
by: Abhishek, et al.
Published: (2025)

A Study of Fine Selmer Groups Over Function Fields via Greenberg Neighbourhoods
by: Ghosh, Sohan
Published: (2025)

Relative $p$-class groups and $p$-Selmer groups
by: De, Debajyoti, et al.
Published: (2024)

Iwasawa theory of fine Selmer groups associated to Drinfeld modules
by: Ray, Anwesh
Published: (2023)

Iwasawa theory and ranks of elliptic curves in quadratic twist families
by: Hatley, Jeffrey, et al.
Published: (2024)

Finiteness and cofiniteness of fine Selmer groups over function fields
by: Ghosh, Sohan, et al.
Published: (2024)

Ultra Kolyvagin systems and higher Fitting ideals of Iwasawa Selmer groups
by: Angurel, Alberto
Published: (2026)

Massey products and the Iwasawa theory of fine Selmer groups
by: Ray, Anwesh, et al.
Published: (2025)

A Heuristic approach to the Iwasawa theory of elliptic curves
by: Müller, Katharina, et al.
Published: (2024)

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields
by: Forrás, Ben, et al.
Published: (2024)

Iwasawa invariants of Bertolini--Darmon Theta Elements
by: Abhishek, et al.
Published: (2026)

On Anticyclotomic Iwasawa Theory of Hecke Characters at Ordinary Primes
by: Isik, Erman
Published: (2024)

Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$
by: Ray, Anwesh
Published: (2024)

A $p$-Converse theorem for Real Quadratic Fields
by: Bansal, Muskan, et al.
Published: (2025)

Ultra-Kolyvagin systems and non-ordinary Selmer groups
by: Loeffler, David, et al.
Published: (2025)

Non-commutative Iwasawa theory of abelian varieties over global function fields
by: Deng, Li-Tong, et al.
Published: (2024)

On certain root number $1$ cases of the cube sum problem
by: Das, Shamik, et al.
Published: (2025)

Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves
by: Hatley, Jeffrey, et al.
Published: (2021)

On the $p$-adic $L$-function and Iwasawa Main Conjecture for an Artin motive over a CM field
by: Hara, Takashi, et al.
Published: (2024)

On the unramified Iwasawa module of a $\mathbb{Z}_p$-extension generated by division points of a CM elliptic curve
by: Itoh, Tsuyoshi
Published: (2020)

Iwasawa theory for abelian towers of digraphs
by: Lei, Antonio, et al.
Published: (2026)

On the distribution of Iwasawa invariants associated to multigraphs
by: Dion, Cédric, et al.
Published: (2022)

On the growth of Tate-Shafarevich groups of $p$-supersingular abelian varieties of ${\rm GL}_2$-type over $\mathbb{Z}_p$-extensions of number fields
by: Isik, Erman, et al.
Published: (2025)

On $p$-adic $L$-functions of elliptic curves and the ideal class groups of the division fields
by: Dainobu, Naoto
Published: (2024)

Unramified Iwasawa module of $\mathbb{Z}_2$-extension of certain quadratic fields with a bounded quotient
by: Laxmi, H, et al.
Published: (2024)

On Non-Noetherian Iwasawa Theory
by: Burns, David, et al.
Published: (2024)

Statistics for 3-isogeny induced Selmer groups of elliptic curves
by: Shingavekar, Pratiksha
Published: (2024)

The growth of Tate-Shafarevich groups of $p$-supersingular elliptic curves over anticyclotomic $\mathbb{Z}_p$-extensions at inert primes
by: Isik, Erman, et al.
Published: (2024)

Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in $\mathbb{Z}/p\mathbb{Z}$-Extensions
by: Beneish, Lea, et al.
Published: (2021)

On the Iwasawa theory of Cayley graphs
by: Ghosh, Sohan, et al.
Published: (2024)

Iwasawa theory and the representations of finite groups
by: Ray, Anwesh
Published: (2025)

Hilbert's tenth problem for families of $ \mathbb{Z}_p $-extensions of imaginary quadratic fields
by: Müller, Katharina, et al.
Published: (2024)

On $μ$-invariants and isogenies for abelian varieties over function fields
by: Ghosh, Sohan, et al.
Published: (2024)

Galois cohomology of elliptic curves over anticyclotomic extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)

On signed Mordell-Weil groups for abelian varieties
by: Ray, Jishnu
Published: (2023)

Congruent elliptic curves over some $p$-adic Lie extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)

On Euler systems and Nekovář-Selmer complexes
by: Bullach, Dominik, et al.
Published: (2025)

Iwasawa theory for branched $\mathbb{Z}_{p}$-towers of finite graphs
by: Gambheera, Rusiru, et al.
Published: (2024)

Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
by: Kataoka, Takenori, et al.
Published: (2025)