Linear systems on rational elliptic surfaces and elliptic fibrations on \(K3\) surfaces

DOI10.1016/j.jpaa.2018.03.010zbMath1443.14041arXiv1703.02783OpenAlexW2963127279MaRDI QIDQ1672029

Alice Garbagnati, Cecília Salgado

Publication date: 7 September 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02783

zbMATH Keywords

elliptic fibrationsrational surfaces\(K3\) surfaceselliptic surfaces

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) (K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Special surfaces (14J25)

Related Items (7)

Non-symplectic automorphisms of order 3, 4, and 6 ofK3 surfaces with smooth quotient ⋮ Fields of Definition of Elliptic Fibrations on Covers of Certain Extremal Rational Elliptic Surfaces ⋮ On the duality of F-theory and the CHL string in seven dimensions ⋮ Pointed curves on \(K3\) surfaces which are double covers of rational elliptic surfaces ⋮ Elliptic fibrations on \(K3\) surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus ⋮ Double cover \(K3\) surfaces of Hirzebruch surfaces ⋮ Rational elliptic surfaces and the trigonometry of tetrahedra

Cites Work

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• On Jacobian fibrations on the Kummer surfaces of the product of non-isogenous elliptic curves
• Van Geemen-Sarti involutions and elliptic fibrations on \(K3\) surfaces double cover of \(\mathbb{P}^2\)
• Classification of all Jacobian elliptic fibrations on certain \(K3\) surfaces
• Elliptic Surfaces
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• Algebraic K3 surfaces with finite automorphism groups
• Projective Models of K - 3 Surfaces
• On elliptic \(K3\) surfaces.

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