Orbital Counting of Curves on Algebraic Surfaces and Sphere Packings

DOI10.1007/978-3-319-29959-4_2zbMath1354.14064arXiv1408.0374OpenAlexW114694619MaRDI QIDQ2827522

Igor V. Dolgachev

Publication date: 20 October 2016

Published in: K3 Surfaces and Their Moduli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0374

zbMATH Keywords

divisoralgebraic surfaceKleinian groupsApollonian circle packingsorbital countingBoyd-Maxwell sphere packings

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Rational and ruled surfaces (14J26) Reflection and Coxeter groups (group-theoretic aspects) (20F55) (K3) surfaces and Enriques surfaces (14J28) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Discrete subgroups of Lie groups (22E40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (3)

Enriques surfaces and an Apollonian packing in eight dimensions ⋮ Higher dimensional Apollonian packings, revisited ⋮ The residual set dimension of a generalized Apollonian packing

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