Modular curves with infinitely many quartic points

M Derickx, P Orlić - Research in Number Theory, 2024 - Springer
Modular curves $$X_0(N)$$ with infinitely many quartic points | Research in Number Theory
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A single source theorem for primitive points on curves

M Khawaja, S Siksek - Forum of Mathematics, Sigma, 2025 - cambridge.org
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 …

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 …

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 …

Bielliptic Shimura curves with nontrivial level

O Padurariu, F Saia - Research in Number Theory, 2025 - Springer
We work towards completely classifying all bielliptic Shimura curves\(X_0^ D (N)\) with
nontrivial level N coprime to D and their bielliptic involutions, extending a result of Rotger …

[PDF][PDF] Modern Breakthroughs in Diophantine Problems

M Bennett, N Bruin, S Siksek, B Viray - 2022 - birs.ca
Whilst these and other successes constitute dramatic progress on problems of tremendous
historical importance, there has also been a divergence of methods and approaches, and …

[引用][C] Modular curves with infinitely many quartic points

WT Hwang, D Jeon - Mathematics of Computation, 2024 - ams.org
Modular curves with infinitely many quartic points Page 1 MATHEMATICS OF COMPUTATION
Volume 93, Number 345, January 2024, Pages 383–395 https://doi.org/10.1090/mcom/3864 …