Cover Image

Relative $p$-class groups and $p$-Selmer groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	De, Debajyoti, Majumdar, Dipramit, Mondal, Sudipa
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11R29, 11G05, 11G15, 11R23
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)

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

Iwasawa theory of fine Selmer groups over global fields
by: Ghosh, Sohan, et al.
Published: (2022)

Boundary CM points and class groups of small exponent
by: Aiken, David, et al.
Published: (2026)

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)

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields
by: Forrás, Ben, 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)

A necessary condition for $2p$ to be congruent for a prime $p \equiv 5 \pmod 8$
by: Ghosh, Arkabrata
Published: (2024)

On the simultaneous $3$-divisibility of class numbers of quadruples of real quadratic fields
by: Banerjee, Kalyan, et al.
Published: (2025)

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)

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)

Stability of 2-class groups in the $\mathbb{Z}_2$-extension of certain real biquadratic fields
by: Laxmi, H, et al.
Published: (2025)

Class group statistics for torsion fields generated by elliptic curves
by: Ray, Anwesh, et al.
Published: (2022)

Ideal class groups of division fields of elliptic curves and everywhere unramified rational points
by: Dainobu, Naoto
Published: (2023)

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)

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

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

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

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)

$\mathbb{Z}_2$-extension of real quadratic fields with $\mathbb{Z}/2\mathbb{Z}$ as $2$-class group at each layer
by: Laxmi, H, et al.
Published: (2023)

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

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

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

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

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

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

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

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

The $p$-adic limits of class numbers in $\mathbb{Z}_p$-towers
by: Ueki, Jun, et al.
Published: (2022)

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

Elliptic Curves with positive rank and no integral points
by: Agathocleous, Eleni
Published: (2023)

Main conjectures for non-CM elliptic curves at good ordinary primes
by: Yan, Xiaojun, et al.
Published: (2024)

Non-vanishing of central $L$-values of the Gross family of elliptic curve
by: Kezuka, Yukako, et al.
Published: (2023)

On $ p-$Rationality of Cubic and Quartic Number Fields
by: Li, Hang, et al.
Published: (2023)

Bessel periods and Selmer groups over ordinary Rankin--Selberg eigenvariety
by: Liu, Yifeng
Published: (2024)

Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $\mathbb{Z}_2$-extension of $\mathbb{Q}$
by: Deng, Li-Tong, et al.
Published: (2026)

An analogue of Kida's formula for elliptic curves with additive reduction
by: Ray, Anwesh, et al.
Published: (2024)

Mazur's growth number conjecture and congruences
by: Ray, Anwesh
Published: (2025)

An analogue of Kida's formula for Mazur-Tate elements
by: Pratap, Naman, et al.
Published: (2025)

Higher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groups
by: Da Ronche, Enrico, et al.
Published: (2026)