A note on the supersingular \(K3\) surface of Artin invariant 1

DOI10.1016/j.jpaa.2011.10.036zbMath1250.14024arXiv1105.4993OpenAlexW2131118190MaRDI QIDQ456830

Matthias Schütt

Publication date: 16 October 2012

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

Full work available at URL: https://arxiv.org/abs/1105.4993

zbMATH Keywords

Picard numbersupersingular \(K3\) surfaceArtin invariant

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Finite ground fields in algebraic geometry (14G15) Varieties over finite and local fields (11G25)

Related Items (2)

Finiteness of Brauer groups of K3 surfaces in characteristic 2 ⋮ Projective models of the supersingular \(K3\) surface with Artin invariant 1 in characteristic 5

Cites Work

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• Kummer sandwich theorem of certain elliptic \(K3\) surfaces
• \(K3\) surfaces with Picard rank 20
• Arithmetic of a singular \(K3\) surface
• The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces
• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
• Isogeny classes of abelian varieties over finite fields
• Transcendental lattices and supersingular reduction lattices of a singular 𝐾3 surface
• Supersingular $K3$ surfaces

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