The structure of Selmer groups and the Iwasawa main conjecture for elliptic curves
Fuente:
arXiv
Saved in:
| Main Author: | Kim, Chan-Ho |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the adjoint Selmer groups of semi-stable elliptic curves and Flach's zeta elements
by: Kim, Chan-Ho
Published: (2024)
by: Kim, Chan-Ho
Published: (2024)
On the Fitting ideals of anticyclotomic Selmer groups of elliptic curves with good ordinary reduction
by: Kim, Chan-Ho
Published: (2025)
by: Kim, Chan-Ho
Published: (2025)
A higher Gross-Zagier formula and the structure of Selmer groups
by: Kim, Chan-Ho
Published: (2022)
by: Kim, Chan-Ho
Published: (2022)
On the anticyclotomic Mazur-Tate conjecture for elliptic curves with supersingular reduction
by: Kim, Chan-Ho
Published: (2024)
by: Kim, Chan-Ho
Published: (2024)
Selmer groups of families of elliptic curves with an $\ell$-isogeny
by: Chan, Stephanie, et al.
Published: (2025)
by: Chan, Stephanie, et al.
Published: (2025)
The anticyclotomic main conjectures for elliptic curves
by: Bertolini, Massimo, et al.
Published: (2023)
by: Bertolini, Massimo, et al.
Published: (2023)
On the Mordell-Weil rank and $2$-Selmer group of a family of elliptic curves
by: Patel, Pankaj, et al.
Published: (2025)
by: Patel, Pankaj, et al.
Published: (2025)
On anticyclotomic Selmer groups of elliptic curves
by: Longo, Matteo, et al.
Published: (2025)
by: Longo, Matteo, et al.
Published: (2025)
On the Iwasawa theory of elliptic curves at Eisenstein primes
by: Castella, Francesc
Published: (2024)
by: Castella, Francesc
Published: (2024)
On generalized Iwasawa main conjectures and $p$-adic Stark conjectures for Artin motives
by: Maksoud, Alexandre
Published: (2021)
by: Maksoud, Alexandre
Published: (2021)
On the cyclotomic Iwasawa invariants of elliptic curves of rank one
by: Chnaras, Foivos
Published: (2025)
by: Chnaras, Foivos
Published: (2025)
Massey products and the Iwasawa theory of fine Selmer groups
by: Ray, Anwesh, et al.
Published: (2025)
by: Ray, Anwesh, et al.
Published: (2025)
The $3$-isogeny Selmer groups of the elliptic curves $y^2=x^3+n^2$
by: Chan, Stephanie
Published: (2022)
by: Chan, Stephanie
Published: (2022)
On the Iwasawa invariants of Kato's zeta elements for modular forms
by: Kim, Chan-Ho, et al.
Published: (2019)
by: Kim, Chan-Ho, et al.
Published: (2019)
The Iwasawa $μ$-invariant of certain elliptic curves of analytic rank zero
by: Chakravarthy, Adithya
Published: (2024)
by: Chakravarthy, Adithya
Published: (2024)
On the Iwasawa Invariants of Mazur--Tate elements of elliptic curves at additive primes
by: Lei, Antonio, et al.
Published: (2024)
by: Lei, Antonio, et al.
Published: (2024)
$p$-twisted Selmer near-companion curves
by: Kim, Minseok
Published: (2025)
by: Kim, Minseok
Published: (2025)
Iwasawa theory of fine Selmer groups associated to Drinfeld modules
by: Ray, Anwesh
Published: (2023)
by: Ray, Anwesh
Published: (2023)
Statistics for 3-isogeny induced Selmer groups of elliptic curves
by: Shingavekar, Pratiksha
Published: (2024)
by: Shingavekar, Pratiksha
Published: (2024)
Anticyclotomic Iwasawa main conjectures for modular forms
by: Longo, Matteo, et al.
Published: (2026)
by: Longo, Matteo, et al.
Published: (2026)
Ultra Kolyvagin systems and higher Fitting ideals of Iwasawa Selmer groups
by: Angurel, Alberto
Published: (2026)
by: Angurel, Alberto
Published: (2026)
An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications
by: Johnston, Henri, et al.
Published: (2020)
by: Johnston, Henri, et al.
Published: (2020)
On the Selmer group and rank of a family of elliptic curves and curves of genus one violating the Hasse principle
by: Agathocleous, Eleni
Published: (2021)
by: Agathocleous, Eleni
Published: (2021)
Selmer stability for elliptic curves in Galois $\ell$-extensions
by: Pathak, Siddhi, et al.
Published: (2025)
by: Pathak, Siddhi, et al.
Published: (2025)
Iwasawa theory of fine Selmer groups over global fields
by: Ghosh, Sohan, et al.
Published: (2022)
by: Ghosh, Sohan, et al.
Published: (2022)
Refined effective bounds for Bloch-Kato Selmer groups associated to hyperelliptic curves
by: Berry, Lee
Published: (2025)
by: Berry, Lee
Published: (2025)
Experimental investigations on Lehmer's conjecture for elliptic curves
by: Cats, Sven, et al.
Published: (2025)
by: Cats, Sven, et al.
Published: (2025)
$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks
by: Jha, Somnath, et al.
Published: (2025)
by: Jha, Somnath, et al.
Published: (2025)
On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields
by: Forrás, Ben, et al.
Published: (2024)
by: Forrás, Ben, et al.
Published: (2024)
Refined conjectures on Fitting ideals of Selmer groups over $\mathbf{Z}_p^2$-extensions
by: Dion, Cédric
Published: (2024)
by: Dion, Cédric
Published: (2024)
2-descent for Bloch--Kato Selmer groups and rational points on hyperelliptic curves II
by: Dogra, Netan
Published: (2024)
by: Dogra, Netan
Published: (2024)
Kolyvagin systems of rank 0 and the structure of the Selmer group of elliptic curves over abelian extensions
by: Angurel, Alberto
Published: (2025)
by: Angurel, Alberto
Published: (2025)
On the prime Selmer ranks of cyclic prime twist families of elliptic curves over global function fields
by: Park, Sun Woo
Published: (2022)
by: Park, Sun Woo
Published: (2022)
The fullness conjectures for products of elliptic curves
by: Kahn, Bruno, et al.
Published: (2023)
by: Kahn, Bruno, et al.
Published: (2023)
The refined Tamagawa number conjectures for $\mathrm{GL}_2$
by: Kim, Chan-Ho, et al.
Published: (2025)
by: Kim, Chan-Ho, et al.
Published: (2025)
Generalized class group actions on oriented elliptic curves with level structure
by: Arpin, Sarah, et al.
Published: (2024)
by: Arpin, Sarah, et al.
Published: (2024)
Equivalence of conjectures on heavenly elliptic curves
by: McLeman, Cam, et al.
Published: (2025)
by: McLeman, Cam, et al.
Published: (2025)
The probability of isomorphic group structures of isogenous elliptic curves over finite fields
by: Cullinan, John, et al.
Published: (2025)
by: Cullinan, John, et al.
Published: (2025)
Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$
by: Ray, Anwesh
Published: (2024)
by: Ray, Anwesh
Published: (2024)
Greenberg's conjecture and Iwasawa module of Real biquadratic fields I
by: Chems-Eddin, Mohamed Mahmoud
Published: (2025)
by: Chems-Eddin, Mohamed Mahmoud
Published: (2025)
Similar Items
-
On the adjoint Selmer groups of semi-stable elliptic curves and Flach's zeta elements
by: Kim, Chan-Ho
Published: (2024) -
On the Fitting ideals of anticyclotomic Selmer groups of elliptic curves with good ordinary reduction
by: Kim, Chan-Ho
Published: (2025) -
A higher Gross-Zagier formula and the structure of Selmer groups
by: Kim, Chan-Ho
Published: (2022) -
On the anticyclotomic Mazur-Tate conjecture for elliptic curves with supersingular reduction
by: Kim, Chan-Ho
Published: (2024) -
Selmer groups of families of elliptic curves with an $\ell$-isogeny
by: Chan, Stephanie, et al.
Published: (2025)