First-order definability of affine Campana points in the projective line over a number field
Fuente:
arXiv
Saved in:
| Main Author: | De Rasis, Juan Pablo |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
First-order definability of Darmon points in number fields
by: De Rasis, Juan Pablo, et al.
Published: (2024)
by: De Rasis, Juan Pablo, et al.
Published: (2024)
Universally defining $\mathbb{Z}$ in $\mathbb{Q}$ with $10$ quantifiers
by: Daans, Nicolas
Published: (2023)
by: Daans, Nicolas
Published: (2023)
Division quaternion algebras over some cyclotomic fields
by: Savin, Diana
Published: (2023)
by: Savin, Diana
Published: (2023)
An elementary proof of the theorem on the imaginary quadratic fields with class number 1
by: Carter, James E.
Published: (2024)
by: Carter, James E.
Published: (2024)
Wieferich primes in number fields and the conjectures of Ankeny--Artin--Chowla and Mordell
by: Fellini, Nic, et al.
Published: (2025)
by: Fellini, Nic, et al.
Published: (2025)
First-order definability of Campana Points and Darmon Points in algebraic function fields in one variable over number fields
by: De Rasis, Juan Pablo
Published: (2025)
by: De Rasis, Juan Pablo
Published: (2025)
Asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields
by: Sahoo, Satyabrat, et al.
Published: (2024)
by: Sahoo, Satyabrat, et al.
Published: (2024)
Existentially defining valuations in function fields over large fields
by: Daans, Nicolas
Published: (2025)
by: Daans, Nicolas
Published: (2025)
Normal integral bases of Lehmer's cyclic quintic fields
by: Hashimoto, Yu, et al.
Published: (2022)
by: Hashimoto, Yu, et al.
Published: (2022)
On characterization of Monogenic number fields associated with certain quadrinomials and its applications
by: Chatterjee, Tapas, et al.
Published: (2024)
by: Chatterjee, Tapas, et al.
Published: (2024)
The $t$-metric Mahler measures of surds and rational numbers
by: Samuels, Charles L., et al.
Published: (2014)
by: Samuels, Charles L., et al.
Published: (2014)
Norm relations and computational problems in number fields
by: Biasse, Jean-François, et al.
Published: (2020)
by: Biasse, Jean-François, et al.
Published: (2020)
On the solutions of $x^2= By^p+Cz^p$ and $2x^2= By^p+Cz^p$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2023)
by: Kumar, Narasimha, et al.
Published: (2023)
Integers for Simple Radical Extensions
by: Kraemer, Julius
Published: (2025)
by: Kraemer, Julius
Published: (2025)
Galois module structure of algebraic integers of the simplest cubic field
by: Ogawa, Hajime, et al.
Published: (2023)
by: Ogawa, Hajime, et al.
Published: (2023)
Strong $n$-conjectures over rings of integers
by: Hölzl, Rupert, et al.
Published: (2025)
by: Hölzl, Rupert, et al.
Published: (2025)
On common index divisors and monogenity of certain number fields defined by trinomials of type $x^{2^r}+ax^m+b$
by: Yakkou, Hamid Ben
Published: (2022)
by: Yakkou, Hamid Ben
Published: (2022)
On the solutions of $x^p+y^p=2^r z^p$, $x^p+y^p=z^2$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2022)
by: Kumar, Narasimha, et al.
Published: (2022)
Counting intersection numbers of closed geodesics on Shimura curves
by: Rickards, James
Published: (2021)
by: Rickards, James
Published: (2021)
A characterization of the distances between Pisot numbers generating the same number field
by: Bertin, M. J., et al.
Published: (2025)
by: Bertin, M. J., et al.
Published: (2025)
Coincidences of Division Fields of an elliptic curve defined over a number field
by: Yvon, Zoé
Published: (2024)
by: Yvon, Zoé
Published: (2024)
Ideal class groups of division fields of elliptic curves and everywhere unramified rational points
by: Dainobu, Naoto
Published: (2023)
by: Dainobu, Naoto
Published: (2023)
Near coincidences and nilpotent division fields
by: Daniels, Harris, et al.
Published: (2024)
by: Daniels, Harris, et al.
Published: (2024)
Rank stability makes rings of integers diophantine
by: Poonen, Bjorn
Published: (2025)
by: Poonen, Bjorn
Published: (2025)
Greenberg's conjecture for real quadratic number fields
by: Mercuri, Pietro, et al.
Published: (2025)
by: Mercuri, Pietro, et al.
Published: (2025)
On characterization of prime divisors of the index of a quadrinomial
by: Chatterjee, Tapas, et al.
Published: (2024)
by: Chatterjee, Tapas, et al.
Published: (2024)
On the Detection of Non-Roots of D'Arcais Polynomials
by: Heim, Bernhard, et al.
Published: (2025)
by: Heim, Bernhard, et al.
Published: (2025)
Unconditional results for Artin-type problems over number fields
by: Sgobba, Pietro
Published: (2025)
by: Sgobba, Pietro
Published: (2025)
On the monogenity of quartic number fields defined by $x^4+ax^2+b$
by: Fadil, Lhoussain El, et al.
Published: (2022)
by: Fadil, Lhoussain El, et al.
Published: (2022)
Simultaneous visibility in the algebraic lattice
by: Kumar, Rishi, et al.
Published: (2026)
by: Kumar, Rishi, et al.
Published: (2026)
Non-norm criteria and optimal $2\times 2$ space-time block codes over rings of integers of imaginary quadratic fields
by: Alves, Carina, et al.
Published: (2019)
by: Alves, Carina, et al.
Published: (2019)
A subset generalization of the Erdős-Kac theorem over number fields with applications
by: Das, Sourabhashis, et al.
Published: (2025)
by: Das, Sourabhashis, et al.
Published: (2025)
On generalised Pythagorean triples over number fields
by: García, Pedro-José Cazorla
Published: (2025)
by: García, Pedro-José Cazorla
Published: (2025)
Universal quadratic forms and Northcott property of infinite number fields
by: Daans, Nicolas, et al.
Published: (2023)
by: Daans, Nicolas, et al.
Published: (2023)
Galois cohomology of elliptic curves over anticyclotomic extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)
Congruent elliptic curves over some $p$-adic Lie extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)
Geometric Gauss Sums and Gross-Koblitz Formula over Function Fields
by: Chang, Ting-Wei
Published: (2025)
by: Chang, Ting-Wei
Published: (2025)
Governing fields for hyperelliptic function fields
by: Stokvis, Joppe
Published: (2025)
by: Stokvis, Joppe
Published: (2025)
Upper bounds on class numbers of real quadratic fields
by: Bernardini, Riccardo
Published: (2025)
by: Bernardini, Riccardo
Published: (2025)
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)
Similar Items
-
First-order definability of Darmon points in number fields
by: De Rasis, Juan Pablo, et al.
Published: (2024) -
Universally defining $\mathbb{Z}$ in $\mathbb{Q}$ with $10$ quantifiers
by: Daans, Nicolas
Published: (2023) -
Division quaternion algebras over some cyclotomic fields
by: Savin, Diana
Published: (2023) -
An elementary proof of the theorem on the imaginary quadratic fields with class number 1
by: Carter, James E.
Published: (2024) -
Wieferich primes in number fields and the conjectures of Ankeny--Artin--Chowla and Mordell
by: Fellini, Nic, et al.
Published: (2025)