On the Bombieri–Pila method over function fields

DOI10.4064/aa8613-8-2017zbMath1422.11203arXiv1506.08757OpenAlexW2964285682MaRDI QIDQ3130462

Alisa Sedunova

Publication date: 22 January 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08757

zbMATH Keywords

function fieldsintegral pointsDiophantine equations

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (6)

Points of bounded height on curves and the dimension growth conjecture over Fq[t$\mathbb {F}_q[t]$] ⋮ Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields ⋮ The dimension growth conjecture, polynomial in the degree and without logarithmic factors ⋮ Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves ⋮ The inverse sieve problem for algebraic varieties over global fields ⋮ Uniform bounds for the number of rational points on varieties over global fields

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