A \(K3\) surface related to Leonardo Pisano's work on congruent numbers

DOI10.1016/j.exmath.2023.03.003zbMath1525.14047OpenAlexW4365143749MaRDI QIDQ6056572

Martin Djukanović, Jaap Top

Publication date: 2 October 2023

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2023.03.003

zbMATH Keywords

elliptic curve\(K3\) surfaceKummer surfacecongruent numberFermat quartic surface

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05) (K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20)

Cites Work

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• Twists of genus three curves over finite fields
• The two most algebraic K3 surfaces
• Congruent numbers, quadratic forms and \(K_2\)
• The \(L\)-series of a cubic fourfold
• On the Brauer group of diagonal quartic surfaces
• Lectures on K3 Surfaces
• Arithmetic of diagonal quartic surfaces, II
• On Ranks of Twists of Elliptic Curves and Power-Free Values of Binary Forms
• AN ISOGENY OF K3 SURFACES
• A remark on prime (non)congruent numbers