Elliptic 𝐾3 surfaces with 𝐩^{𝐧}-torsion sections

DOI10.1090/S1056-3911-2012-00584-0zbMath1258.14042arXiv1003.0144OpenAlexW1565148704MaRDI QIDQ4904373

Hiroyuki Ito, Christian Liedtke

Publication date: 29 January 2013

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0144

zbMATH Keywords

Mordell-Weil groupsupersingular \(K3\) surfaceArtin invariantelliptic \(K3\) surfacetorsion sectionconjectures of Shioda and Artinheight of a formal Brauer group

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Singularities of surfaces or higher-dimensional varieties (14J17) Varieties over global fields (11G35) Heights (11G50) Brauer groups of schemes (14F22)

Related Items (5)

Orders of automorphisms of \(K3\) surfaces ⋮ Crystals and derived local moduli for ordinary \(K3\) surfaces ⋮ Enriques surfaces in characteristic 2 with a finite group of automorphisms ⋮ Density of rational points on del Pezzo surfaces of degree one ⋮ Supersingular \(K3\) surfaces are unirational

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Néron model over the Igusa curves
• Unirationality of certain supersingular \(K3\) surfaces in characteristic 5
• Kummer sandwich theorem of certain elliptic \(K3\) surfaces
• Projective models of Shioda modular surfaces
• On unirationality of supersingular surfaces
• Some results on unirationality of algebraic surfaces
• An example of unirational surfaces in characteristic \(p\)
• On the height of Calabi-Yau varieties in positive characteristic
• Extremal rational elliptic surfaces in characteristic \(p\). II: Surfaces with three or fewer singular fibres
• On extremal elliptic surfaces in characteristic 2 and 3.
• Finite groups of symplectic automorphisms of \(K3\) surfaces in positive characteristic
• On the algebraic theory of elliptic modular functions
• Kummer surfaces for the self-product of the cuspidal rational curve
• Deformation of a singularity of type E8 and Mordell-Weil lattices in characteristic 2
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• SUPERSINGULARK3 SURFACES OVER FIELDS OF CHARACTERISTIC 2
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Néron Models
• Supersingular $K3$ surfaces
• Kummer surfaces in characteristic $2$
• Formal groups arising from algebraic varieties
• On the 𝑝^{𝑒}-torsion of elliptic curves and elliptic surfaces in characteristic 𝑝
• Group schemes of prime order

This page was built for publication: Elliptic 𝐾3 surfaces with 𝐩^{𝐧}-torsion sections