Singularities of normal quartic surfaces. III: (\(\mathrm{char}= 2\)), nonsupersingular

DOI10.2140/tunis.2023.5.457zbMath1527.14080arXiv2206.03295OpenAlexW4388232812MaRDI QIDQ6064218

Fabrizio Catanese, Matthias Schütt

Publication date: 9 November 2023

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.03295

zbMATH Keywords

elliptic fibration\(K3\) surfacerational double pointnormal quartic surface

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Singularities of surfaces or higher-dimensional varieties (14J17) Varieties of low degree (14N25) Projective techniques in algebraic geometry (14N05) Special surfaces (14J25)

Cites Work

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• \(K3\) surfaces with Picard rank 20
• On Enriques surfaces with four cusps
• Divisibilities among nodal curves
• Singularities of normal quartic surfaces. II: (\(\mathrm{char}= 2\))
• Singularities of normal quartic surfaces. I: (\(\mathrm{char}= 2\))
• On the uniqueness of elliptic \(K3\) surfaces with maximal singular fibre
• AT MOST 64 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 2)
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• Supersingular $K3$ surfaces
• Kummer surfaces in characteristic $2$

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