Some effectivity questions for plane Cremona transformations in the context of symmetric key cryptography

DOI10.1017/S0013091520000231zbMath1468.14024OpenAlexW3135512274MaRDI QIDQ4993988

N. I. Shepherd-Barron

Publication date: 11 June 2021

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

Full work available at URL: https://doi.org/10.1017/s0013091520000231

zbMATH Keywords

normal subgroupsCremona groupdynamical degree

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Cites Work

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• Normal subgroups in the Cremona group
• Topologies and structures of the Cremona groups
• Non-simplicity of the Cremona group over any field
• Coxeter groups, Salem numbers and the Hilbert metric.
• On the entropy of holomorphic maps
• Distinguished subgroups and quotients of hyperbolic groups
• Dynamics on blowups of the projective plane
• Dynamics of bimeromorphic maps of surfaces
• Dynamical degrees of birational transformations of projective surfaces
• Kähler groups, real hyperbolic spaces and the Cremona group. With an appendix by Serge Cantat
• Finite Reflection Groups

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