Effective Hilbert's irreducibility theorem for global fields

DOI10.1007/S11856-023-2604-7MaRDI QIDQ6594750

Marcelo Paredes, Román Sasyk

Publication date: 28 August 2024

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

function fieldsheightpolynomialsnumber fieldsglobal fieldseffectiveHilbert's irreducibility theorem

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Cites Work

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• Counting rational points on projective varieties
• Points of bounded height on curves and the dimension growth conjecture over Fq[t]$\mathbb {F}_q[t]$

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