On Büchi's \(K3\) surface

DOI10.1007/s00209-014-1348-9zbMath1356.14027arXiv1212.1426OpenAlexW2005189247MaRDI QIDQ484366

Michela Artebani, Damiano Testa, Antonio Laface

Publication date: 7 January 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1426

zbMATH Keywords

rational pointsKummer surfacesBüchi problem

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Higher degree equations; Fermat's equation (11D41)

Related Items (1)

On generalized Büchi surfaces

Uses Software

• Magma

Cites Work

• A survey on Büchi's problem: new presentations and open problems
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• On curves of genus 2 with Jacobian of \(\text{GL}_2\)-type
• Elliptic curves on abelian surfaces
• The Magma algebra system. I: The user language
• Rational points on quartics
• On K3 surfaces with large Picard number
• Equal sums of sixth powers and quadratic line complexes
• On elliptic modular surfaces
• Arithmetic variety of moduli for genus two
• A characterization of Büchi's integer sequences of length 3
• Büchi's problem in any power for finite fields
• A Geometric Approach to Equal Sums of Sixth Powers
• Polynomial parametrizations of length 4 Büchi sequences
• Enriques Surfaces Covered by Jacobian Kummer Surfaces
• On Sequences of Squares with Constant Second Differences
• Density of rational points on elliptic \(K3\) surfaces
• The moduli spaces of Jacobians isomorphic to a product of two elliptic curves
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