Existential rank and essential dimension of diophantine sets
arXiv:2102.06941v3 [math.NT] 18 Oct 2021 Page 1 arXiv:2102.06941v3 [math.NT] 18 Oct 2021
EXISTENTIAL RANK AND ESSENTIAL DIMENSION OF DIOPHANTINE SETS NICOLAS …
EXISTENTIAL RANK AND ESSENTIAL DIMENSION OF DIOPHANTINE SETS NICOLAS …
First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability
A Shlapentokh, C Springer - arXiv preprint arXiv:2411.14960, 2024 - arxiv.org
In this paper, we study questions of definability and decidability for infinite algebraic
extensions ${\bf K} $ of $\mathbb {F} _p (t) $ and their subrings of $\mathcal {S} $-integral …
extensions ${\bf K} $ of $\mathbb {F} _p (t) $ and their subrings of $\mathcal {S} $-integral …
Most totally real fields do not have universal forms or Northcott property
We show that, in the space of all totally real fields equipped with the constructible topology,
the set of fields that admit a universal quadratic form, or have the Northcott property, is …
the set of fields that admit a universal quadratic form, or have the Northcott property, is …
Nondefinability of rings of integers in most algebraic fields
P Dittmann, A Fehm - Notre Dame Journal of Formal Logic, 2021 - projecteuclid.org
Nondefinability of Rings of Integers in Most Algebraic Fields Page 1 Notre Dame Journal of
Formal Logic Volume 62, Number 3, 2021 Nondefinability of Rings of Integers in Most Algebraic …
Formal Logic Volume 62, Number 3, 2021 Nondefinability of Rings of Integers in Most Algebraic …
Hyperbolic Dehn filling, volume, and transcendentality
S Oh - arXiv preprint arXiv:2308.11574, 2023 - arxiv.org
Let $ M $ be a 1-cusped hyperbolic 3-manifold. In this paper, we investigate the behavior of
the number $ N_M (v) $ of Dehn fillings of $ M $ with a given volume $ v $. Our study …
the number $ N_M (v) $ of Dehn fillings of $ M $ with a given volume $ v $. Our study …