CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS

DOI10.1142/S1793042109002274zbMath1196.11088arXiv0907.2097OpenAlexW2615503116MaRDI QIDQ3635797

Yuri F. Bilu, Paraskevas Alvanos, Dimitrios Poulakis

Publication date: 6 July 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2097

zbMATH Keywords

algebraic curvesintegral pointsSiegel's theorem

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Counting solutions of Diophantine equations (11D45) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (5)

Integral distances from (two) given lattice points ⋮ Integral points and orbits of endomorphisms on the projective plane ⋮ Solving genus zero Diophantine equations over number fields ⋮ Integral points of bounded degree on affine curves ⋮ Markoff-Rosenberger triples in geometric progression

Cites Work

• Solving genus zero Diophantine equations with at most two infinite valuations
• Ternary form equations
• On the distribution of integer points on curves of genus zero
• On the Zariski-density of integral points on a complement of hyperplanes in \(\mathbb P^n\)
• Affine curves with infinitely many integral points

This page was built for publication: CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS