Elliptic fibrations of some extremal \(K3\) surfaces

DOI10.1216/rmjm/1181068770zbMath1133.14037arXivmath/0412049OpenAlexW2105997261MaRDI QIDQ2477984

Matthias Schütt

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412049

zbMATH Keywords

rational elliptic surfacesextremal elliptic \(K3\) surfacessemi-stable fibrations

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Fibrations, degenerations in algebraic geometry (14D06)

Related Items (6)

Elliptic Fibrations on the Modular Surface Associated to Γ 1(8) ⋮ Modular forms and \(K3\) surfaces ⋮ Unnamed Item ⋮ Structure of stable degeneration of \(K3\) surfaces into pairs of rational elliptic surfaces ⋮ Arithmetic of a singular \(K3\) surface ⋮ CM newforms with rational coefficients

Cites Work

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• Miranda-Persson's problem on extremal elliptic \(K3\) surfaces.
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• On compact complex analytic surfaces. I
• Configurations of \(I_ n\) fibers on elliptic K3 surfaces
• On extremal rational elliptic surfaces
• Elliptic surfaces with four singular fibres
• The elliptic \(K\)3 surfaces with a maximal singular fibre.
• Extremal elliptic fibrations and singular \(K3\) surfaces
• Explicit equations of some elliptic modular surfaces
• The modularity of certain non-rigid Calabi-Yau threefolds
• Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces

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