Elliptic Fibrations and Symplectic Automorphisms on K3 Surfaces

DOI10.1080/00927870902828785zbMath1178.14041arXiv0801.3992OpenAlexW2053639605MaRDI QIDQ3646341

Alessandra Sarti, Alice Garbagnati

Publication date: 20 November 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3992

zbMATH Keywords

elliptic fibrations\(K3\) surfaceslatticessymplectic automorphisms

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items

Finite symplectic actions on the K3 lattice, Fricke S-duality in CHL models, Kummer surfaces and \(K3\) surfaces with \((\mathbb{Z}/2\mathbb{Z})^4\) symplectic action, Dualities in CHL-models, Quotients of the Dwork pencil, Unifying the 6D \(\mathcal{N} = (1, 1)\) string landscape, On symplectic and non-symplectic automorphisms of \(K3\) surfaces, \(W = 0\) complex structure moduli stabilization on CM-type \(\mathrm{K}3 \times \mathrm{K}3\) orbifolds: arithmetic, geometry and particle physics, Non-symplectic automorphisms of order multiple of seven on K3 surfaces, Weierstrass equations for all elliptic fibrations on the modular \(K3\) surface associated to \(\Gamma_1(7)\), BKM Lie superalgebras from dyon spectra in \(\mathbb{Z}_N\) CHL orbifolds for composite \(N\), Weierstrass Equations for the Elliptic Fibrations of a K3 Surface, The dihedral group $\mathcal D_{5}$ as a group of symplectic automorphisms on K3 surfaces, Van Geemen-Sarti involutions and elliptic fibrations on \(K3\) surfaces double cover of \(\mathbb{P}^2\), \(K3\) surfaces with \(\mathbb{Z}_2^2\) symplectic action, Elliptic K3 Surfaces with Abelian and Dihedral Groups of Symplectic Automorphisms, Curves on Heisenberg invariant quartic surfaces in projective 3-space, Symplectic automorphisms on Kummer surfaces, Classifications of Elliptic Fibrations of a Singular K3 Surface, On certain isogenies between K3 surfaces, Symmetries of order four on \(K3\) surfaces

Cites Work

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• Nikulin involutions on \(K3\) surfaces
• Mirror symmetry for lattice polarized \(K3\) surfaces
• On K3 surfaces with large Picard number
• Galois covers between \(K3\) surfaces
• Symplectic automorphisms of prime order on \(K3\) surfaces
• Explicit equations of some elliptic modular surfaces
• The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
• The Coxeter–Todd lattice, the Mitchell group, and related sphere packings
• An Extreme Duodenary Form
• On elliptic \(K3\) surfaces.