Cover Image

Exponents of Jacobians and relative class groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kadets, Borys, Keliher, Daniel
Format:	Preprint
Published:	2024
Subjects:	Number Theory Algebraic Geometry 11R58, 11R29, 14H40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Picard groups, pull back and class groups
by: Banerjee, Kalyan, et al.
Published: (2019)

Spectral decomposition of genuine cusp forms over global function fields
by: Zhao, Yifei
Published: (2023)

Odd quadratic orders and real $j$-invariants
by: Zarhin, Yuri G.
Published: (2024)

The Cohen--Lenstra moments over function fields via the stable homology of non-splitting Hurwitz spaces
by: Landesman, Aaron, et al.
Published: (2024)

Branched covers of $\mathbb{P}^1$ and divisibility in class group
by: Banerjee, Kalyan, et al.
Published: (2026)

On Weierstrass semigroups of maximal Fermat function fields
by: Beelen, Peter, et al.
Published: (2026)

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

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

Quadratic forms and Genus Theory : a link with 2-descent and an application to non-trivial specializations of ideal classes
by: Dallaporta, William
Published: (2022)

A note on extended genus fields of Kummer extensions of rational function fields
by: Rzedowski-Calderón, Martha, et al.
Published: (2024)

The geometry of secondary terms in arithmetic statistics
by: Kural, Michael
Published: (2025)

Breaking the 4 barrier for the bound of a generating set of the class group
by: Grenié, Loïc, et al.
Published: (2022)

Recovering the Picard group of quadratic algebras from Wood's binary quadratic forms
by: Dallaporta, William
Published: (2021)

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

Residue of special functions of Anderson $A$-modules at the characteristic graph
by: Gazda, Quentin, et al.
Published: (2022)

On $\ell$-torsion in degree $\ell$ superelliptic Jacobians over $\mathbf{F}_q$
by: Li, Wanlin, et al.
Published: (2024)

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

Hecke reciprocity and class groups
by: Shnidman, Ari, et al.
Published: (2025)

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

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

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

Improving the trivial bound for $\ell$-torsion in class groups
by: Oliver, Robert J. Lemke, et al.
Published: (2025)

Field change for the Cassels-Tate pairing and applications to class groups
by: Morgan, Adam, et al.
Published: (2022)

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)

$\mathbb{Z}_2$-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)

On cohomology groups $ H^{1} $ of $ G-$modules of finite type over cyclic groups
by: Qiu, Derong
Published: (2015)

The $μ$-invariant change for abelian varieties over finite $p$-extensions of global fields
by: Tan, Ki-Seng, et al.
Published: (2023)

Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields
by: Tan, Ki-Seng, et al.
Published: (2026)

On the 3-rank of the class group of quadratic fields
by: Chen, Shi-Chao, 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)

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

Algebraicity of Artin--Hasse--Weil L-series over global function fields
by: Angdinata, David Kurniadi
Published: (2024)

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

A Study of monogenity of Binomial Composition
by: Jakhar, Anuj, et al.
Published: (2024)

Generalized Pohst inequality and small regulators
by: Battistoni, Francesco, et al.
Published: (2022)

Arithmetic Aspects of Number Fields Generated by Polynomial Families
by: Barman, Rupam, et al.
Published: (2026)

Monogenic Fields from Polynomial Compositions with Applications
by: Jakhar, Anuj, et al.
Published: (2026)

3-class field towers with 2 or 3 stages
by: von Berghof, Helga Boyer, et al.
Published: (2026)

Mertens products in arithmetic progressions over function fields
by: Jung, Hwanyup
Published: (2026)