\(K3\) surfaces, Picard numbers and Siegel disks

DOI10.1016/j.jpaa.2022.107215zbMath1502.14088arXiv2111.03787OpenAlexW3212955527MaRDI QIDQ2079646

Yuta Takada, Katsunori Iwasaki

Publication date: 30 September 2022

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

Full work available at URL: https://arxiv.org/abs/2111.03787

zbMATH Keywords

Picard number\(K3\) surfaceSiegel diskSalem numberhypergeometric groupLefschetz-type fixed point formula

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (1)

Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20

Cites Work

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• On the Atiyah-Bott formula for isolated fixed points
• Duality and intersection theory in complex manifolds. II: The holomorphic Lefschetz formula
• Automorphisms of even unimodular lattices and unramified Salem numbers
• Hypergeometric groups and dynamics on \(K3\) surfaces
• Dynamics of rational surface automorphisms: linear fractional recurrences
• Dynamics on K3 surfaces: Salem numbers and Siegel disks
• Dynamics of rational surface automorphisms: rotation domains
• The third smallest Salem number in automorphisms of K3 surfaces
• Lectures on K3 Surfaces
• General Fixed Point Formula for an Algebraic Surface and the Theory of Swan Representations for Two-Dimensional Local Rings
• Growth of the number of periodic points for meromorphic maps
• Introduction to Lie Algebras and Representation Theory
• Dynamics of automorphisms of \(K3\) surfaces
• Periodic points for area-preserving birational maps of surfaces

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