Symmetries of order four on \(K3\) surfaces

DOI10.2969/jmsj/06720503zbMath1316.14068arXiv1102.4436OpenAlexW2074296695MaRDI QIDQ2351870

Alessandra Sarti, Michela Artebani

Publication date: 26 June 2015

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4436

zbMATH Keywords

\(K3\) surfacenon-symplectic automorphism

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Families, moduli, classification: algebraic theory (14J10) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items

Non-symplectic automorphisms of order 3, 4, and 6 ofK3 surfaces with smooth quotient ⋮ Non-symplectic automorphisms of \(K3\) surfaces with one-dimensional moduli space ⋮ On some K3 surfaces with order sixteen automorphism ⋮ Finite subgroups of automorphisms of K3 surfaces ⋮ Quotient spaces of \(\mathrm{K}3\) surfaces by non-symplectic involutions fixing a curve of genus 8 or more ⋮ \(W = 0\) complex structure moduli stabilization on CM-type \(\mathrm{K}3 \times \mathrm{K}3\) orbifolds: arithmetic, geometry and particle physics ⋮ Finite abelian groups of \(K3\) surfaces with smooth quotient ⋮ Non-symplectic automorphisms of order multiple of seven on K3 surfaces ⋮ Compact moduli of K3 surfaces with a nonsymplectic automorphism ⋮ Order 9 automorphisms of K3 surfaces ⋮ Elliptic fibrations on \(K3\) surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus ⋮ The classification of purely non-symplectic automorphisms of high order on \(K3\) surfaces ⋮ BHK mirror symmetry for \(K3\) surfaces with non-symplectic automorphism ⋮ Non-purely non-symplectic automorphisms of order 6 on \(K3\) surfaces ⋮ KSBA compactification of the moduli space of K3 surfaces with a purely non-symplectic automorphism of order four ⋮ Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(K3\) surfaces with non-symplectic automorphisms of prime order. With an appendix by Shigeyuki Kondō
• Even sets of (\(-4\))-curves on rational surface
• Periods of Enriques surfaces
• The two most algebraic K3 surfaces
• Non-symplectic automorphisms of order 3 on \(K3\) surfaces
• Nikulin involutions on \(K3\) surfaces
• Automorphisms of algebraic K3 surfaces which act trivially on Picard groups
• Classification of non-symplectic automorphisms on \(K3\) surfaces which act trivially on the Néron-Severi lattice
• Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
• New families of Calabi-Yau threefolds without maximal unipotent monodromy
• \(K3\) surfaces with non-symplectic automorphisms of 2-power order
• Finite groups of symplectic automorphisms of \(K3\) surfaces in positive characteristic
• Symplectic automorphisms of prime order on \(K3\) surfaces
• The index of elliptic operators. III
• Classification of non-symplectic automorphisms of order 3 onK3 surfaces
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• Deformations of singularities and variation of GIT quotients
• Elliptic Fibrations and Symplectic Automorphisms on K3 Surfaces
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• A complex hyperbolic structure for the moduli space of curves of genus three
• A note on elliptic k3 surfaces
• Order 6 non-symplectic automorphisms of K3 surfaces
• A Compactification of ₃ via K3 Surfaces