Subspace configurations and low degree points on curves
This paper is devoted to understanding curves X over a number field k that possess infinitely
many solutions in extensions of k of degree at most d; such solutions are the titular low …
many solutions in extensions of k of degree at most d; such solutions are the titular low …
A single source theorem for primitive points on curves
A single source theorem for primitive points on curves Page 1 Forum of Mathematics, Sigma
(2025), Vol. 13:e6 1–14 doi:10.1017/fms.2024.156 RESEARCH ARTICLE A single source …
(2025), Vol. 13:e6 1–14 doi:10.1017/fms.2024.156 RESEARCH ARTICLE A single source …
Isolated and parameterized points on curves
B Viray, I Vogt - arXiv preprint arXiv:2406.14353, 2024 - arxiv.org
We give a self-contained introduction to isolated points on curves and their counterpoint,
parameterized points, that situates these concepts within the study of the arithmetic of …
parameterized points, that situates these concepts within the study of the arithmetic of …
Algebroid maps and hyperbolicity of symmetric powers
N Garcia-Fritz, H Pasten - arXiv preprint arXiv:2406.00835, 2024 - arxiv.org
Given a complex projective algebraic variety $ X $ we define $ h (X) $ as the largest $ n $
such that the $ n $-th symmetric power of $ X $ is (Brody) hyperbolic. Using Nevanlinna …
such that the $ n $-th symmetric power of $ X $ is (Brody) hyperbolic. Using Nevanlinna …
Fields generated by points on superelliptic curves
L Beneish, C Keyes - arXiv preprint arXiv:2103.16672, 2021 - arxiv.org
We give an asymptotic lower bound on the number of field extensions generated by
algebraic points on superelliptic curves over $\mathbb {Q} $ with fixed degree $ n …
algebraic points on superelliptic curves over $\mathbb {Q} $ with fixed degree $ n …