Ramified covers of abelian varieties over torsion fields
L Bary-Soroker, A Fehm, S Petersen - Journal für die reine und …, 2023 - degruyter.com
We study rational points on ramified covers of abelian varieties over certain infinite Galois
extensions of ℚ. In particular, we prove that every elliptic curve E over ℚ has the weak …
extensions of ℚ. In particular, we prove that every elliptic curve E over ℚ has the weak …
[HTML][HTML] Θ-Hilbertianity
S Fried, D Haran - Journal of Algebra, 2020 - Elsevier
Θ-Hilbertianity - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals &
Books Search RegisterSign in View PDF Download full issue Search ScienceDirect …
Books Search RegisterSign in View PDF Download full issue Search ScienceDirect …
[PDF][PDF] Composita of symmetric extensions of Q
WD Geyer, M Jarden, A Razon - Münster Journal of Mathematics, 2018 - tau.ac.il
Let K be a Hilbertian presented field with elimination theory of characteristic= 2, let Ksymm
be the compositum of all symmetric extensions of K, and let Ksymm, ins be the maximal …
be the compositum of all symmetric extensions of K, and let Ksymm, ins be the maximal …
Free subgroups of finitely generated free profinite groups
M Shusterman - Journal of the London Mathematical Society, 2016 - academic.oup.com
We give new and improved results on the freeness of subgroups of free profinite groups: A
subgroup containing the normal closure of a finite word in the elements of a basis is free; …
subgroup containing the normal closure of a finite word in the elements of a basis is free; …
Primitive recursive decidability for large rings of algebraic integers inside the compositum of all symmetric extensions of ℚ
A Razon - Israel Journal of Mathematics, 2023 - Springer
Let ℚsymm be the compositum of all finite Galois extensions of ℚ with symmetric Galois
groups. Denote the absolute Galois group of ℚ by Gal (ℚ). For each σ=(σ 1,… σ e)∈ Gal (ℚ) …
groups. Denote the absolute Galois group of ℚ by Gal (ℚ). For each σ=(σ 1,… σ e)∈ Gal (ℚ) …
Strong approximation theorem for absolutely irreducible varieties over the compositum of all symmetric extensions of a global field
M Jarden, A Razon - Glasgow Mathematical Journal, 2019 - cambridge.org
STRONG APPROXIMATION THEOREM FOR ABSOLUTELY IRREDUCIBLE VARIETIES
OVER THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF A GLOBAL FI Page 1 …
OVER THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF A GLOBAL FI Page 1 …
Extensions of Hilbertian rings
M Jarden, A Razon - Glasgow Mathematical Journal, 2020 - cambridge.org
We generalize known results about Hilbertian fields to Hilbertian rings. For example, let R be
a Hilbertian ring (eg R is the ring of integers of a number field) with quotient field K and let A …
a Hilbertian ring (eg R is the ring of integers of a number field) with quotient field K and let A …