Cover Image

On the Distribution of Class Groups of Abelian Extensions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Liu, Yuan
Format:	Preprint
Published:	2024
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Extensions of Abelian Schemes and the Additive Group
by: Ribeiro, Gabriel, et al.
Published: (2025)

Infinite Moments of Class Groups for Solvable Fields with a Normal Abelian Subgroup
by: Wang, Weitong
Published: (2026)

Corresponding Abelian Extensions of Integrally Equivalent Number Fields
by: Phagan, Shaver
Published: (2024)

Power Savings for Counting (Twisted) Abelian Extensions of Number Fields
by: Alberts, Brandon
Published: (2024)

A Bilinear Bogolyubov Argument in Abelian Groups
by: Milićević, L.
Published: (2021)

Class Groups and Selmer Groups in Special Families
by: Abhishek, et al.
Published: (2025)

Hyperelliptic Jacobians in Isogeny Classes of Abelian Threefolds Over Finite Fields
by: Borodin, Matvey, et al.
Published: (2025)

Automorphism Groups of Finite Extensions of Fields and the Minimal Ramification Problem
by: Entin, Alexei
Published: (2024)

Asymptotic Variation of Elementary Abelian p-Extensions over $P^1$
by: Zhu, Hui June
Published: (2024)

On the Existence of the Maximal Unramified Pro-$2$-Extension over the Cyclotomic $\mathbb{Z}_2$-Extension with Prescribed Metacyclic Galois Group
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2025)

On the Diameter of Undirected Cayley Graphs of Finite Abelian Groups
by: Bajnok, Bela, et al.
Published: (2024)

Metric Heights on an Abelian Group
by: Samuels, Charles L.
Published: (2012)

Intertwining Algebras and Affine Hecke Algebras for Finite Central Extensions of Classical $p$-adic Groups with Application to Metaplectic Groups
by: Heiermann, Volker, et al.
Published: (2025)

On S-Split p-Hilbert Class Field Towers with Prescribed Galois Groups
by: Maire, Christian, et al.
Published: (2025)

Hermite's approach to Abelian integrals revisited
by: Kawashima, Makoto
Published: (2025)

A Note on Abelian Monogenic Trinomials
by: Jones, Lenny
Published: (2026)

Sets of Cross Numbers of Sequences over Finite Abelian Groups
by: Bashir, Aqsa, et al.
Published: (2024)

Computing $p$-Class Group Structure in Real Quadratic Fields: A New Approach
by: Amiri, Farahnaz
Published: (2026)

Abelian varieties not isogenous to Jacobians over global fields
by: Shankar, Ananth N., et al.
Published: (2021)

On the Rational Cuspidal Divisor Class Groups of Drinfeld Modular Curves $X_0(\mathfrak{p}^r)$
by: Ho, Sheng-Yang Kevin
Published: (2023)

On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms
by: Shavali, Alireza
Published: (2024)

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
by: Lu, Frank
Published: (2025)

The 6-step Solvable Mono-anabelian Reconstruction of Abelian Number Fields
by: Mao, Yu
Published: (2025)

On the Extension of the Gaussian Moat Problem
by: Das, Madhuparna
Published: (2019)

Abelian surfaces over $\mathbb{F}_{q}(t)$ with large Tate-Shafarevich groups
by: Azon, Martin
Published: (2024)

Lower bound for the canonical on Abelian varieties over totally $p$-adic extensions
by: Kala, Sushant
Published: (2025)

Quantum Algorithms for Gowers Norm Estimation, Polynomial Testing, and Arithmetic Progression Counting over Finite Abelian Groups
by: Kuo, En-Jui
Published: (2025)

p-Curvature and Non-Abelian Cohomology
by: Lam, Yeuk Hay Joshua, et al.
Published: (2026)

Intersections and the Bézout Range: Abelian Varieties
by: Baldi, Gregorio, et al.
Published: (2026)

Extensions of the truncated pentagonal number theorem
by: Campbell, John M.
Published: (2025)

Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random Polynomials
by: Shen, Jiahe
Published: (2026)

Abelian structure in approximate groups and Alon's conjecture on Ramsey Cayley graphs
by: Schildkraut, Carl
Published: (2025)

Archimedean Zeta Integrals for Unitary Groups
by: Eischen, Ellen, et al.
Published: (2020)

When is a 2-Power Cyclotomic Extension cyclic?
by: Marques, Sophie, et al.
Published: (2023)

Explicit Uniform Lower Bounds for the Canonical Height on Elliptic Curves over Abelian Extensions
by: Jenvrin, Jonathan
Published: (2025)

Absolutely Abelian Hilbert Class Fields and $\ell-$torsion conjecture
by: Ram, Mahesh Kumar, et al.
Published: (2025)

Abelian fiber spaces and their Tate-Shafarevich twists with sections
by: Kollár, János
Published: (2025)

Twisted Class Field Theory
by: Yoon, Seok Ho Jack
Published: (2015)

On the Elliptic Curve $X_0(49)$ over Quadratic Extensions
by: Dombrowsky, Charlotte
Published: (2025)

On Dirichlet Series Involving $ζ(s)$ and Extensions of the Euler-Mascheroni Constant
by: Noda, Takumi
Published: (2026)