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arXiv · 2204.13472

Integral points on symmetric affine cubic surfaces

H. Uppal
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Abstract

We show that if $f(u)\in \mathbb{Z}[u]$ is a monic cubic polynomial, then for all but finitely many $n\in \mathbb{Z}$ the affine cubic surface $f(u_{1})+f(u_{2})+f(u_{3})=n \subset \mathbb{A}^{3}_{\mathbb{Z}}$ has no integral Brauer-Manin obstruction to the Hasse principle.

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H. Uppal. 2022-04-28. Integral points on symmetric affine cubic surfaces. https://doi.org/10.1007/s00229-023-01498-z

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