Integral points on symmetric affine cubic surfaces

H. Uppal

doi:10.1007/s00229-023-01498-z

Integral points on symmetric affine cubic surfaces

H. Uppal

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We show that if f(u) ∈ Z[u] is a monic cubic polynomial, then for all but finitely many n∈ Z the affine cubic surface f(u1)+f(u2)+f(u3)=n⊂AZ3 has no integral Brauer-Manin obstruction to the Hasse principle.

Original language	English
Pages (from-to)	1305-1331
Number of pages	27
Journal	Manuscripta Mathematica
Volume	173
Issue number	3-4
Early online date	2 Aug 2023
DOIs	https://doi.org/10.1007/s00229-023-01498-z
Publication status	Published - 31 Mar 2024

Keywords

11D25
14F22 (Secondary)
14G05
14G12 (Primary)

ASJC Scopus subject areas

General Mathematics

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10.1007/s00229-023-01498-zLicence: CC BY

Cite this

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AB - We show that if f(u) ∈ Z[u] is a monic cubic polynomial, then for all but finitely many n∈ Z the affine cubic surface f(u1)+f(u2)+f(u3)=n⊂AZ3 has no integral Brauer-Manin obstruction to the Hasse principle.

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KW - 14G05

KW - 14G12 (Primary)

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Integral points on symmetric affine cubic surfaces

Abstract

Keywords

ASJC Scopus subject areas

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