On B\"uchi's K3 surface
Michela Artebani, Antonio Laface, Damiano Testa
TL;DR
This paper investigates B"uchi's K3 surface, demonstrating that its rational points are Zariski-dense, which advances understanding of its geometric and arithmetic properties.
Contribution
The paper provides a detailed geometric analysis of B"uchi's K3 surface and establishes the density of rational points on it.
Findings
Rational points are Zariski-dense on B"uchi's K3 surface
The geometric structure of the surface is characterized
Implications for arithmetic geometry of K3 surfaces
Abstract
We study the geometry of B\"uchi's K3 surface showing that the rational points of this surface are Zariski-dense.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Finite Group Theory Research