On a bound of $p$-ranks of Iwasawa modules of $\mathbb{Z}_p$-extensions over a quartic CM-field
Fuente:
arXiv
Saved in:
| Main Author: | Yanagisawa, Takuya |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On Iwasawa's class number formula for $\mathbb{Z}_p\rtimes\mathbb{Z}_p$-extensions
by: Tateno, Sohei
Published: (2017)
by: Tateno, Sohei
Published: (2017)
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)
by: Itoh, Tsuyoshi
Published: (2020)
Iwasawa module of the cyclotomic $\mathbb{Z}_{2}$-extension of certain real quadratic fields
by: Avila, Josue
Published: (2024)
by: Avila, Josue
Published: (2024)
On the triviality of the unramified Iwasawa modules of the maximal multiple $\mathbb{Z}_p$-extensions
by: Okano, Keiji
Published: (2024)
by: Okano, Keiji
Published: (2024)
On Iwasawa theory of abelian varieties over $\mathbb{Z}_p^2$-extension with applications to Diophantine stability and integally Diophantine extensions
by: Lim, Meng Fai
Published: (2026)
by: Lim, Meng Fai
Published: (2026)
Integral Basis for quartic Kummer extensions over $\mathbb{Z}[ι]$
by: Venkataraman, S., et al.
Published: (2024)
by: Venkataraman, S., 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)
by: Laxmi, H, et al.
Published: (2024)
Simple Iwasawa modules with large canonical dimension of quaternion algebra over $\mathbb{Q}_p$
by: Fu, Weibo
Published: (2025)
by: Fu, Weibo
Published: (2025)
Explicit bounds on torsion of CM abelian varieties over $p$-adic fields with values in Lubin-Tate extensions
by: Ozeki, Yoshiyasu
Published: (2023)
by: Ozeki, Yoshiyasu
Published: (2023)
On fine Mordell-Weil groups over $\mathbb{Z}_p$-extensions of an imaginary quadratic field
by: Lim, Meng Fai
Published: (2023)
by: Lim, Meng Fai
Published: (2023)
Structure of fine Selmer groups over $\mathbb{Z}_p$-extensions
by: Lim, Meng Fai
Published: (2021)
by: Lim, Meng Fai
Published: (2021)
Rarity of pseudo-null Iwasawa modules for $p$-adic Lie extensions
by: Kataoka, Takenori
Published: (2024)
by: Kataoka, Takenori
Published: (2024)
On the Iwasawa $λ$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of a family of real quadratic fields in which $2$ splits
by: Ávila, Josué, et al.
Published: (2026)
by: Ávila, Josué, et al.
Published: (2026)
On the $\mathbb{Z}_p$-extensions of a totally $p$-adic imaginary quadratic field -- With an appendix by Jean-François Jaulent
by: Gras, Georges
Published: (2024)
by: Gras, Georges
Published: (2024)
On a conjecture of Mazur predicting the growth of Mordell--Weil ranks in $\mathbb{Z}_p$-extensions
by: Gajek-Leonard, Rylan, et al.
Published: (2024)
by: Gajek-Leonard, Rylan, et al.
Published: (2024)
Algebraic functional equation for big Galois representations over multiple $\mathbb{Z}_p$-extensions
by: Hao, Zeping, et al.
Published: (2026)
by: Hao, Zeping, et al.
Published: (2026)
The first level of $\mathbb{Z}_p$-extensions and compatibility of heuristics
by: Kundu, Debanjana, et al.
Published: (2024)
by: Kundu, Debanjana, et al.
Published: (2024)
On the structure of fine Mordell-Weil groups over a $\mathbb{Z}_p$-extension and its intermediate subextensions
by: Lim, Meng Fai
Published: (2026)
by: Lim, Meng Fai
Published: (2026)
Iwasawa theory for branched $\mathbb{Z}_{p}$-towers of finite graphs
by: Gambheera, Rusiru, et al.
Published: (2024)
by: Gambheera, Rusiru, et al.
Published: (2024)
Distributions of Iwasawa $λ$-invariants of $\mathbf{Z}_p$-towers over supersingular isogeny graphs
by: Adachi, Taiga, et al.
Published: (2026)
by: Adachi, Taiga, et al.
Published: (2026)
On automorphisms of some semidirect product groups and ranks of Iwasawa modules
by: Fujii, Satoshi
Published: (2025)
by: Fujii, Satoshi
Published: (2025)
Hopf-Galois module structure of degree p extensions of p-adic fields
by: Gil-Muñoz, Daniel
Published: (2024)
by: Gil-Muñoz, Daniel
Published: (2024)
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)
by: Hara, Takashi, et al.
Published: (2024)
On Polynomial Modular Number Systems over $\mathbb{Z}/p\mathbb{Z}$
by: Bajard, Jean Claude, et al.
Published: (2020)
by: Bajard, Jean Claude, et al.
Published: (2020)
The Iwasawa $μ$-invariants of Elliptic Curves over $\mathbb{Q}$
by: Chakravarthy, Adithya
Published: (2024)
by: Chakravarthy, Adithya
Published: (2024)
The algebra $\mathbb{Z}_\ell[[\mathbb{Z}_p^d]]$ and applications to Iwasawa theory
by: Bandini, Andrea, et al.
Published: (2023)
by: Bandini, Andrea, et al.
Published: (2023)
Generalized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fields
by: Sahoo, Satyabrat
Published: (2026)
by: Sahoo, Satyabrat
Published: (2026)
Mod $p$ Iwasawa algebras of pro-$p$ Iwahori subgroups
by: Ariaz, Rudy, et al.
Published: (2026)
by: Ariaz, Rudy, et al.
Published: (2026)
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)
Greenberg's conjecture and Iwasawa module of Real biquadratic fields II
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2026)
by: Chems-Eddin, Mohamed Mahmoud, et al.
Published: (2026)
Integers that are sums of two cubes in the cyclotomic $\mathbb{Z}_p$-extension
by: Ray, Anwesh
Published: (2024)
by: Ray, Anwesh
Published: (2024)
Class number behavior in a two-tiered tower of $\mathbb{Z}_p$-extensions
by: Itoh, Tsuyoshi
Published: (2024)
by: Itoh, Tsuyoshi
Published: (2024)
Lower bound for the canonical on Abelian varieties over totally $p$-adic extensions
by: Kala, Sushant
Published: (2025)
by: Kala, Sushant
Published: (2025)
On the potential automorphy and the local-global compatibility for the monodromy operators at $p \neq l$ over CM fields
by: Matsumoto, Kojiro
Published: (2023)
by: Matsumoto, Kojiro
Published: (2023)
Comparing direct limit and inverse limit of even $K$-groups in multiple $\mathbb{Z}_p$-extensions
by: Lim, Meng Fai
Published: (2022)
by: Lim, Meng Fai
Published: (2022)
On non-trivial $Λ$-submodules with finite index of the plus/minus Selmer group over anticyclotomic $\mathbb{Z}_{p}$-extension at inert primes
by: Shii, Ryota
Published: (2023)
by: Shii, Ryota
Published: (2023)
The non-$p$-part of the fine Selmer group in a $\mathbf{Z}_p$-extension
by: Chakravarthy, Adithya
Published: (2024)
by: Chakravarthy, Adithya
Published: (2024)
Genus Stability of $\mathbb Z_p^\times$-Towers
by: Wang, Shiruo
Published: (2025)
by: Wang, Shiruo
Published: (2025)
On the maximal unramified pro-2-extension of $\mathbb{Z}_2$-extension of certain real biquadratic fields
by: Chems-Eddin, Mohamed Mahmoud
Published: (2024)
by: Chems-Eddin, Mohamed Mahmoud
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)
Similar Items
-
On Iwasawa's class number formula for $\mathbb{Z}_p\rtimes\mathbb{Z}_p$-extensions
by: Tateno, Sohei
Published: (2017) -
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) -
Iwasawa module of the cyclotomic $\mathbb{Z}_{2}$-extension of certain real quadratic fields
by: Avila, Josue
Published: (2024) -
On the triviality of the unramified Iwasawa modules of the maximal multiple $\mathbb{Z}_p$-extensions
by: Okano, Keiji
Published: (2024) -
On Iwasawa theory of abelian varieties over $\mathbb{Z}_p^2$-extension with applications to Diophantine stability and integally Diophantine extensions
by: Lim, Meng Fai
Published: (2026)