Brauer-Manin obstructions to integral points
Andrew Kresch, Yuri Tschinkel
TL;DR
This paper investigates how Brauer-Manin obstructions can prevent the existence of integral points on certain open subsets of the projective plane, enhancing understanding of Diophantine equations.
Contribution
It provides new insights into the role of Brauer-Manin obstructions in the context of integral points on algebraic surfaces.
Findings
Identification of specific obstructions to integral points
Conditions under which Brauer-Manin obstructions are the only barriers
Examples illustrating the obstructions in practice
Abstract
We study Brauer-Manin obstructions to integral points on open subsets of the projective plane.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models