Unirationality of certain supersingular \(K3\) surfaces in characteristic 5

DOI10.1007/s00229-006-0045-3zbMath1108.14029arXivmath/0611452OpenAlexW2088248550MaRDI QIDQ858589

Ichiro Shimada, Duc Tai Pho

Publication date: 11 January 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611452

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Rationality questions in algebraic geometry (14E08)

Related Items (3)

Elliptic 𝐾3 surfaces with 𝐩^{𝐧}-torsion sections ⋮ Projective models of the supersingular \(K3\) surface with Artin invariant 1 in characteristic 5 ⋮ Supersingular \(K3\) surfaces are unirational

Uses Software

• classifyCeq.lib

Cites Work

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• Surfaces of type K3 over fields of finite characteristic
• On unirationality of supersingular surfaces
• Dynkin diagrams of rank 20 on supersingular \(K3\) surfaces
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Projective Models of K - 3 Surfaces
• Supersingular $K3$ surfaces
• Rational double points on supersingular 𝐾3 surfaces
• Quartic curves in characteristic 2
• On Isolated Rational Singularities of Surfaces

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