Cover Image

A note on extended genus fields of Kummer extensions of rational function fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Rzedowski-Calderón, Martha, Villa-Salvador, Gabriel
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11R58, 11R29
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Kummer theory for function fields
by: Boudreau, Félix Baril, et al.
Published: (2024)

Harmonic analysis approach to the relative Riemann-Roch theorem on global fields
by: Czerniawska, Weronika
Published: (2022)

On the distribution of shapes of octic Kummer extensions
by: Jakhar, Anuj, et al.
Published: (2026)

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

Governing fields for hyperelliptic function fields
by: Stokvis, Joppe
Published: (2025)

The Cohen--Lenstra moments over function fields via the stable homology of non-splitting Hurwitz spaces
by: Landesman, Aaron, et al.
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)

The Kummer ratio of the relative class number for prime cyclotomic fields
by: Kandhil, Neelam, 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)

Class numbers of Imaginary bicyclic biquadratic number fields
by: Jakhar, Anuj, et al.
Published: (2025)

Parameterized families of quadratic fields with $n$-rank at least 2
by: Hoque, Azizul, et al.
Published: (2024)

A heuristic for ray class groups of quadratic number fields
by: Bartel, Alex, et al.
Published: (2025)

Iwasawa invariants and class number parity of multi-quadratic number fields
by: Li, Qinhao, et al.
Published: (2026)

The divisibility of the class number of the imaginary quadratic fields $\mathbb{Q}(\sqrt{1-2m^k})$
by: Krishnamoorthy, Srilakshmi, et al.
Published: (2021)

Ring class fields and a result of Hasse
by: Evans, R., et al.
Published: (2024)

The shifted convolution problem in function fields
by: Florea, Alexandra, et al.
Published: (2025)

Arakelov class groups of random number fields
by: Bartel, Alex, et al.
Published: (2020)

The second moment of cubic Dirichlet L-functions over function fields
by: Goel, Shivani, et al.
Published: (2025)

On Pólya groups of some non-Galois number fields
by: Maarefparvar, Abbas
Published: (2024)

On the distribution of shapes of totally real multiquadratic number fields
by: Jakhar, Anuj, et al.
Published: (2026)

Infinite class field tower with small root discriminant
by: Liu, Qi, et al.
Published: (2024)

Rank of elliptic curves and class groups of real quadratic fields
by: Banerjee, Kalyan
Published: (2026)

The second moment of the size of the $2$-class group of monogenized cubic fields
by: Bhargava, Manjul, et al.
Published: (2025)

Geometry-of-numbers methods over global fields II: Coregular representations
by: Bhargava, Manjul, et al.
Published: (2026)

An elementary formulation of Kubota's proof of Satz 4 about biquadratic number fields
by: Boulanger, Jacques, et al.
Published: (2024)

Variance of primes in short residue classes for function fields
by: Baier, Stephan, et al.
Published: (2022)

Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces
by: Bhargava, Manjul, et al.
Published: (2015)

A note on arithmetic congruences
by: Fellini, Nic
Published: (2025)

The existence of infinitely many cubic fields with class group of exact 2-rank 1
by: Bhargava, Manjul, et al.
Published: (2026)

Ideal class groups of some quadratic number fields and factorization of values of some quadratic polynomials
by: Louboutin, Stéphane
Published: (2025)

On the 3-rank of the class group of quadratic fields
by: Chen, Shi-Chao, et al.
Published: (2025)

An asymptotic on the logarithms of the relative class numbers of imaginary abelian number fields of prime conductor and large degree
by: Louboutin, Stéphane
Published: (2025)

On the $p$-ranks of class groups of certain Galois extensions
by: Asarhasa, Ufuoma, et al.
Published: (2024)

Class number of real quadratic fields of explicit discriminant
by: Bernardini, Riccardo
Published: (2024)

Construction of a $p$-extension of number fields whose unit group has prescribed Galois module structure
by: Kataoka, Takenori, et al.
Published: (2026)

Greenberg's conjecture for real quadratic number fields
by: Mercuri, Pietro, et al.
Published: (2025)

The average genus number for pure fields of prime degree
by: Bose, Sambhabi, et al.
Published: (2025)

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

Small generators of abelian number fields
by: Widmer, Martin
Published: (2023)

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