The dimension growth conjecture, polynomial in the degree and without logarithmic factors

DOI10.2140/ant.2020.14.2261zbMath1480.11083arXiv1904.13109OpenAlexW3103626941WikidataQ123155889 ScholiaQ123155889MaRDI QIDQ2212121

Wouter Castryck, Raf Cluckers, Philip Dittmann, Nguyen Huu Kien

Publication date: 18 November 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.13109

zbMATH Keywords

rational points of bounded heightdimension growth conjecture

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35)

Related Items (6)

Density of rational points near/on compact manifolds with certain curvature conditions ⋮ Counting rational points on projective varieties ⋮ Points of bounded height on curves and the dimension growth conjecture over Fq[t$\mathbb {F}_q[t]$] ⋮ On the global determinant method ⋮ Arithmetically equivalent number fields have approximately the same successive minima ⋮ Uniform bounds for the number of rational points on varieties over global fields

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